Details

analyze563.0ms (1.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample17.0ms (0%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	46×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify99.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 7 to 7 computations (0% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite6.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_8642`
1×	`add-cube-cbrt_binary64_8638` `flip3-+_binary64_8606` `add-sqr-sqrt_binary64_8625` `add-exp-log_binary64_8641` `*-un-lft-identity_binary64_8603` `flip-+_binary64_8577` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664` `sum-log_binary64_8694` `+-commutative_binary64_8533`

Counts

1 → 11

Calls

2 calls:

5.0ms	(+.f64 (.f64 x y) (.f64 z t))
0.0ms	(+.f64 (.f64 x y) (.f64 z t))

series140.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

140.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 204 to 228 computations (-11.8% saved)

simplify104.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4831	355
1	4831	355

prune47.0ms (0.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	24	11	35
Fresh	0	0	0
Picked	0	0	0
Done	0	1	1
Total	24	12	36

Error

0.0b

Counts

36 → 12

Compiler

Compiled 312 to 142 computations (54.5% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite6.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_8642`
1×	`add-cube-cbrt_binary64_8638` `flip3-+_binary64_8606` `add-sqr-sqrt_binary64_8625` `add-exp-log_binary64_8641` `*-un-lft-identity_binary64_8603` `flip-+_binary64_8577` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664` `sum-log_binary64_8694` `+-commutative_binary64_8533`

Counts

1 → 11

Calls

2 calls:

5.0ms	(+.f64 (.f64 x y) (.f64 z t))
0.0ms	(+.f64 (.f64 x y) (.f64 z t))

series141.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

141.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 276 to 300 computations (-8.7% saved)

simplify104.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4831	355
1	4831	355

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_8642`
1×	`add-cube-cbrt_binary64_8638` `flip3-+_binary64_8606` `add-sqr-sqrt_binary64_8625` `add-exp-log_binary64_8641` `*-un-lft-identity_binary64_8603` `flip-+_binary64_8577` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664` `sum-log_binary64_8694` `+-commutative_binary64_8533`

Counts

1 → 11

Calls

2 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 z t))
0.0ms	(+.f64 (.f64 x y) (.f64 z t))

series140.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

140.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 276 to 300 computations (-8.7% saved)

simplify108.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4831	355
1	4831	355

localize9.0ms (0%)

Local error

Found 6 expressions with local error:

2.9b	(exp.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))))
1.0b	(log.f64 (+.f64 (.f64 x y) (.f64 z t)))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
1.0b	(log.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.9b	(exp.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))))

rewrite16.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cube-cbrt_binary64_8638` `add-sqr-sqrt_binary64_8625` `*-un-lft-identity_binary64_8603` `log-prod_binary64_8689`
5×	`add-log-exp_binary64_8642` `pow1_binary64_8664`
4×	`add-exp-log_binary64_8641` `exp-prod_binary64_8655` `log-div_binary64_8690`
3×	`flip3-+_binary64_8606` `flip-+_binary64_8577` `add-cbrt-cube_binary64_8639` `exp-sum_binary64_8649`
2×	`log-pow_binary64_8692` `exp-diff_binary64_8651`
1×	`rem-exp-log_binary64_8643` `rem-log-exp_binary64_8644` `sum-log_binary64_8694` `+-commutative_binary64_8533`

Counts

3 → 42

Calls

6 calls:

5.0ms	(exp.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))
4.0ms	(log.f64 (+.f64 (.f64 x y) (.f64 z t)))
0.0ms	(+.f64 (.f64 x y) (.f64 z t))
0.0ms	(log.f64 (+.f64 (.f64 x y) (.f64 z t)))

series1.2s (2.8%)

Counts

3 → 66

Calls

3 calls:

982.0ms	(exp.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))))
138.0ms	(+.f64 (.f64 x y) (.f64 z t))
116.0ms	(log.f64 (+.f64 (.f64 x y) (.f64 z t)))

Compiler

Compiled 1404 to 1258 computations (10.4% saved)

simplify78.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5118	1412

localize9.0ms (0%)

Local error

Found 6 expressions with local error:

31.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))
0.3b	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.3b	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
31.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))

rewrite21.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_8634`
9×	`add-cube-cbrt_binary64_8638` `add-sqr-sqrt_binary64_8625` `*-un-lft-identity_binary64_8603`
6×	`unpow-prod-down_binary64_8682` `cube-prod_binary64_8631`
5×	`add-log-exp_binary64_8642`
4×	`add-exp-log_binary64_8641` `cube-div_binary64_8632` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664`
3×	`flip3-+_binary64_8606` `pow-unpow_binary64_8680` `flip-+_binary64_8577`
2×	`unpow3_binary64_8669` `sqr-pow_binary64_8575` `cube-mult_binary64_8633` `cbrt-div_binary64_8635`
1×	`pow1/3_binary64_8685` `pow-pow_binary64_8675` `pow-to-exp_binary64_8672` `rem-cbrt-cube_binary64_8627` `pow-exp_binary64_8671` `sum-log_binary64_8694` `+-commutative_binary64_8533` `rem-cube-cbrt_binary64_8626`

Counts

3 → 59

Calls

6 calls:

5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))
5.0ms	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
4.0ms	(+.f64 (.f64 x y) (.f64 z t))
0.0ms	(+.f64 (.f64 x y) (.f64 z t))
0.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))

series547.0ms (1.2%)

Counts

3 → 96

Calls

3 calls:

268.0ms	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
141.0ms	(+.f64 (.f64 x y) (.f64 z t))
138.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))

Compiler

Compiled 1836 to 1716 computations (6.5% saved)

simplify100.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5269	2954

prune1.0s (2.3%)

Pruning

90 alts after pruning (84 fresh and 6 done)

	Pruned	Kept	Total
New	255	78	333
Fresh	0	6	6
Picked	0	0	0
Done	0	6	6
Total	255	90	345

Error

0.0b

Counts

345 → 90

Compiler

Compiled 3299 to 1550 computations (53% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_8642`
1×	`add-cube-cbrt_binary64_8638` `flip3-+_binary64_8606` `add-sqr-sqrt_binary64_8625` `add-exp-log_binary64_8641` `*-un-lft-identity_binary64_8603` `flip-+_binary64_8577` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664` `sum-log_binary64_8694` `+-commutative_binary64_8533`

Counts

1 → 11

Calls

2 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 z t))
0.0ms	(+.f64 (.f64 x y) (.f64 z t))

series144.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

144.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 348 to 372 computations (-6.9% saved)

simplify108.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4831	355
1	4831	355

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

7.2b	(log.f64 (*.f64 z t))
2.3b	(exp.f64 (log.f64 (*.f64 z t)))
2.3b	(exp.f64 (log.f64 (*.f64 z t)))
7.2b	(log.f64 (*.f64 z t))

rewrite8.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`pow1_binary64_8664`
5×	`add-exp-log_binary64_8641` `exp-prod_binary64_8655`
4×	`log-pow_binary64_8692`
3×	`add-cube-cbrt_binary64_8638` `add-sqr-sqrt_binary64_8625` `*-un-lft-identity_binary64_8603`
2×	`add-log-exp_binary64_8642` `rem-log-exp_binary64_8644` `log-prod_binary64_8689` `add-cbrt-cube_binary64_8639` `pow-prod-down_binary64_8674`
1×	`rem-exp-log_binary64_8643` `prod-exp_binary64_8652` `exp-sum_binary64_8649`

Counts

2 → 26

Calls

4 calls:

3.0ms	(exp.f64 (log.f64 (*.f64 z t)))
3.0ms	(log.f64 (*.f64 z t))
0.0ms	(exp.f64 (log.f64 (*.f64 z t)))
0.0ms	(log.f64 (*.f64 z t))

series272.0ms (0.6%)

Counts

2 → 12

Calls

2 calls:

149.0ms	(exp.f64 (log.f64 (*.f64 z t)))
123.0ms	(log.f64 (*.f64 z t))

Compiler

Compiled 192 to 240 computations (-25% saved)

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5078	230

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

1.2b	(exp.f64 (-.f64 (log.f64 (neg.f64 t)) (log.f64 (/.f64 -1 z))))
0.2b	(-.f64 (log.f64 (neg.f64 t)) (log.f64 (/.f64 -1 z)))
0.2b	(-.f64 (log.f64 (neg.f64 t)) (log.f64 (/.f64 -1 z)))
1.2b	(exp.f64 (-.f64 (log.f64 (neg.f64 t)) (log.f64 (/.f64 -1 z))))

rewrite23.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`log-prod_binary64_8689`
26×	`*-un-lft-identity_binary64_8603`
22×	`add-sqr-sqrt_binary64_8625`
20×	`associate--l+_binary64_8540`
18×	`add-cube-cbrt_binary64_8638`
16×	`exp-sum_binary64_8649`
13×	`associate--r+_binary64_8539`
12×	`pow1_binary64_8664`
10×	`log-pow_binary64_8692`
9×	`times-frac_binary64_8609`
8×	`exp-prod_binary64_8655` `distribute-lft-out--_binary64_8555` `cancel-sign-sub-inv_binary64_8569`
6×	`distribute-rgt-neg-in_binary64_8561` `distribute-lft-neg-in_binary64_8560`
3×	`add-log-exp_binary64_8642`
2×	`difference-of-squares_binary64_8572` `add-exp-log_binary64_8641` `associate--r-_binary64_8542` `rem-exp-log_binary64_8643` `diff-log_binary64_8695` `neg-mul-1_binary64_8599` `log-div_binary64_8690` `add-cbrt-cube_binary64_8639` `sub-neg_binary64_8596`
1×	`flip3--_binary64_8607` `div-inv_binary64_8600` `flip--_binary64_8578` `exp-diff_binary64_8651`

Counts

2 → 78

Calls

4 calls:

8.0ms	(-.f64 (log.f64 (neg.f64 t)) (log.f64 (/.f64 -1 z)))
8.0ms	(exp.f64 (-.f64 (log.f64 (neg.f64 t)) (log.f64 (/.f64 -1 z))))
0.0ms	(-.f64 (log.f64 (neg.f64 t)) (log.f64 (/.f64 -1 z)))
0.0ms	(exp.f64 (-.f64 (log.f64 (neg.f64 t)) (log.f64 (/.f64 -1 z))))

series486.0ms (1.1%)

Counts

2 → 12

Calls

2 calls:

256.0ms	(exp.f64 (-.f64 (log.f64 (neg.f64 t)) (log.f64 (/.f64 -1 z))))
230.0ms	(-.f64 (log.f64 (neg.f64 t)) (log.f64 (/.f64 -1 z)))

Compiler

Compiled 266 to 314 computations (-18% saved)

simplify84.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5164	821

localize12.0ms (0%)

Local error

Found 8 expressions with local error:

1.0b	(log.f64 (+.f64 (.f64 x y) (.f64 z t)))
0.4b	(pow.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))) 3)
0.3b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))) 3))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.3b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))) 3))
0.4b	(pow.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))) 3)
1.0b	(log.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.9b	(exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))) 3)))

rewrite22.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`cbrt-prod_binary64_8634`
17×	`exp-prod_binary64_8655`
15×	`add-cube-cbrt_binary64_8638` `add-sqr-sqrt_binary64_8625` `*-un-lft-identity_binary64_8603`
12×	`unpow-prod-down_binary64_8682` `cube-prod_binary64_8631` `pow1_binary64_8664`
7×	`log-pow_binary64_8692`
6×	`add-exp-log_binary64_8641`
5×	`add-log-exp_binary64_8642` `add-cbrt-cube_binary64_8639`
3×	`unpow3_binary64_8669` `sqr-pow_binary64_8575` `cube-mult_binary64_8633` `pow-unpow_binary64_8680` `log-prod_binary64_8689`
2×	`log-div_binary64_8690`
1×	`pow1/3_binary64_8685` `flip3-+_binary64_8606` `rem-exp-log_binary64_8643` `rem-log-exp_binary64_8644` `flip-+_binary64_8577` `pow-pow_binary64_8675` `pow-to-exp_binary64_8672` `rem-cbrt-cube_binary64_8627` `pow-exp_binary64_8671` `rem-cube-cbrt_binary64_8626`

Counts

4 → 87

Calls

8 calls:

5.0ms	(exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))) 3)))
4.0ms	(log.f64 (+.f64 (.f64 x y) (.f64 z t)))
3.0ms	(pow.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))) 3)
3.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))) 3))
0.0ms	(+.f64 (.f64 x y) (.f64 z t))

series2.1s (4.8%)

Counts

4 → 82

Calls

4 calls:

980.0ms	(exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))) 3)))
885.0ms	(pow.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))) 3)
119.0ms	(log.f64 (+.f64 (.f64 x y) (.f64 z t)))
118.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))) 3))

Compiler

Compiled 4583 to 3613 computations (21.2% saved)

simplify82.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5047	3537

prune3.4s (7.7%)

Pruning

188 alts after pruning (177 fresh and 11 done)

	Pruned	Kept	Total
New	227	105	332
Fresh	7	72	79
Picked	0	0	0
Done	0	11	11
Total	234	188	422

Error

0.0b

Counts

422 → 188

Compiler

Compiled 6582 to 3899 computations (40.8% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_8642`
1×	`add-cube-cbrt_binary64_8638` `flip3-+_binary64_8606` `add-sqr-sqrt_binary64_8625` `add-exp-log_binary64_8641` `*-un-lft-identity_binary64_8603` `flip-+_binary64_8577` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664` `sum-log_binary64_8694` `+-commutative_binary64_8533`

Counts

1 → 11

Calls

2 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 z t))
0.0ms	(+.f64 (.f64 x y) (.f64 z t))

series135.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

134.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 420 to 444 computations (-5.7% saved)

simplify102.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4831	355
1	4831	355

localize4.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

1.0b	(log.f64 (/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t))))
0.3b	(.f64 (.f64 z t) (*.f64 z t))
0.3b	(.f64 (.f64 x y) (*.f64 x y))
0.0b	(-.f64 (.f64 x y) (.f64 z t))
1.0b	(log.f64 (/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t))))
1.5b	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t)))
2.9b	(exp.f64 (log.f64 (/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))))
23.4b	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))

rewrite61.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64_8609` `log-prod_binary64_8689`
30×	`add-cube-cbrt_binary64_8638` `add-sqr-sqrt_binary64_8625` `*-un-lft-identity_binary64_8603`
18×	`exp-sum_binary64_8649`
11×	`difference-of-squares_binary64_8572`
9×	`add-exp-log_binary64_8641`
6×	`add-log-exp_binary64_8642` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664` `associate-/r/_binary64_8549`
5×	`flip3--_binary64_8607` `flip--_binary64_8578`
4×	`associate-/l*_binary64_8548` `exp-prod_binary64_8655`
3×	`associate-/r*_binary64_8547` `div-inv_binary64_8600`
2×	`div-exp_binary64_8654` `log-pow_binary64_8692` `rem-log-exp_binary64_8644` `associate-/l/_binary64_8550` `log-div_binary64_8690`
1×	`rem-exp-log_binary64_8643` `clear-num_binary64_8602` `diff-log_binary64_8695` `cbrt-undiv_binary64_8637` `cancel-sign-sub-inv_binary64_8569` `div-sub_binary64_8608` `frac-2neg_binary64_8614` `sub-neg_binary64_8596` `exp-diff_binary64_8651`

Counts

4 → 109

Calls

8 calls:

13.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))
12.0ms	(exp.f64 (log.f64 (/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))))
11.0ms	(log.f64 (/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t))))
9.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t)))
0.0ms	(-.f64 (.f64 x y) (.f64 z t))

series2.4s (5.4%)

Counts

4 → 90

Calls

4 calls:

1.3s	(exp.f64 (log.f64 (/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))))
466.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))
383.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t)))
175.0ms	(log.f64 (/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t))))

Compiler

Compiled 2250 to 2000 computations (11.1% saved)

simplify110.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4975	5187
1	4975	5187

localize12.0ms (0%)

Local error

Found 8 expressions with local error:

2.9b	(exp.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))))
1.0b	(log.f64 (+.f64 (.f64 x y) (.f64 z t)))
0.2b	(log.f64 (exp.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t)))))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.2b	(log.f64 (exp.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t)))))
1.0b	(log.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.9b	(exp.f64 (log.f64 (exp.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))))))
2.9b	(exp.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))))

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64_8689`
22×	`exp-prod_binary64_8655`
17×	`log-pow_binary64_8692`
15×	`*-un-lft-identity_binary64_8603` `exp-sum_binary64_8649`
14×	`add-cube-cbrt_binary64_8638` `add-sqr-sqrt_binary64_8625`
12×	`log-div_binary64_8690`
11×	`pow1_binary64_8664`
8×	`exp-diff_binary64_8651`
5×	`add-exp-log_binary64_8641`
4×	`flip3-+_binary64_8606` `add-log-exp_binary64_8642` `flip-+_binary64_8577` `add-cbrt-cube_binary64_8639`
2×	`rem-exp-log_binary64_8643` `rem-log-exp_binary64_8644` `exp-to-pow_binary64_8665`

Counts

4 → 78

Calls

8 calls:

7.0ms	(exp.f64 (log.f64 (exp.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))))))
5.0ms	(log.f64 (exp.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t)))))
5.0ms	(exp.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))))
4.0ms	(log.f64 (+.f64 (.f64 x y) (.f64 z t)))
0.0ms	(+.f64 (.f64 x y) (.f64 z t))

series3.4s (7.8%)

Counts

4 → 84

Calls

4 calls:

2.2s	(exp.f64 (log.f64 (exp.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))))))
973.0ms	(exp.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t))))
185.0ms	(log.f64 (exp.f64 (log.f64 (+.f64 (.f64 x y) (.f64 z t)))))
115.0ms	(log.f64 (+.f64 (.f64 x y) (.f64 z t)))

Compiler

Compiled 2568 to 2212 computations (13.9% saved)

simplify87.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5026	2340

localize12.0ms (0%)

Local error

Found 8 expressions with local error:

0.6b	(cbrt.f64 (/.f64 -1 z))
0.6b	(cbrt.f64 (/.f64 -1 z))
0.1b	(-.f64 (-.f64 (log.f64 (neg.f64 t)) (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 z))) 2)) (log.f64 (cbrt.f64 (/.f64 -1 z))))
0.1b	(-.f64 (log.f64 (neg.f64 t)) (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 z))) 2))
0.1b	(-.f64 (-.f64 (log.f64 (neg.f64 t)) (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 z))) 2)) (log.f64 (cbrt.f64 (/.f64 -1 z))))
0.6b	(cbrt.f64 (/.f64 -1 z))
0.6b	(cbrt.f64 (/.f64 -1 z))
1.2b	(exp.f64 (-.f64 (-.f64 (log.f64 (neg.f64 t)) (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 z))) 2)) (log.f64 (cbrt.f64 (/.f64 -1 z)))))

rewrite42.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`associate--l+_binary64_8540`
41×	`*-un-lft-identity_binary64_8603`
39×	`add-sqr-sqrt_binary64_8625` `cbrt-prod_binary64_8634`
36×	`log-prod_binary64_8689`
35×	`add-cube-cbrt_binary64_8638`
27×	`times-frac_binary64_8609`
19×	`exp-sum_binary64_8649`
16×	`associate--r+_binary64_8539`
12×	`cancel-sign-sub-inv_binary64_8569`
9×	`add-log-exp_binary64_8642`
8×	`pow1_binary64_8664`
6×	`exp-prod_binary64_8655` `log-pow_binary64_8692` `diff-log_binary64_8695` `distribute-rgt-neg-in_binary64_8561` `distribute-lft-neg-in_binary64_8560`
4×	`pow1/3_binary64_8685` `add-exp-log_binary64_8641` `distribute-lft-out--_binary64_8555` `cbrt-div_binary64_8635` `add-cbrt-cube_binary64_8639` `sub-neg_binary64_8596`
3×	`rem-exp-log_binary64_8643` `div-inv_binary64_8600`
2×	`difference-of-squares_binary64_8572` `associate--r-_binary64_8542` `neg-mul-1_binary64_8599` `log-div_binary64_8690`
1×	`associate--l-_binary64_8541` `flip3--_binary64_8607` `flip--_binary64_8578` `exp-diff_binary64_8651`

Counts

4 → 130

Calls

8 calls:

12.0ms	(-.f64 (-.f64 (log.f64 (neg.f64 t)) (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 z))) 2)) (log.f64 (cbrt.f64 (/.f64 -1 z))))
11.0ms	(exp.f64 (-.f64 (-.f64 (log.f64 (neg.f64 t)) (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 z))) 2)) (log.f64 (cbrt.f64 (/.f64 -1 z)))))
3.0ms	(cbrt.f64 (/.f64 -1 z))
2.0ms	(cbrt.f64 (/.f64 -1 z))
0.0ms	(-.f64 (log.f64 (neg.f64 t)) (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 z))) 2))

series1.2s (2.6%)

Counts

4 → 18

Calls

4 calls:

502.0ms	(exp.f64 (-.f64 (-.f64 (log.f64 (neg.f64 t)) (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 z))) 2)) (log.f64 (cbrt.f64 (/.f64 -1 z)))))
484.0ms	(-.f64 (-.f64 (log.f64 (neg.f64 t)) (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 z))) 2)) (log.f64 (cbrt.f64 (/.f64 -1 z))))
86.0ms	(cbrt.f64 (/.f64 -1 z))
83.0ms	(cbrt.f64 (/.f64 -1 z))

Compiler

Compiled 658 to 718 computations (-9.1% saved)

simplify84.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4963	2278
1	4963	2278

prune11.6s (26.3%)

Pruning

322 alts after pruning (307 fresh and 15 done)

	Pruned	Kept	Total
New	389	155	544
Fresh	20	152	172
Picked	0	0	0
Done	1	15	16
Total	410	322	732

Error

0.0b

Counts

732 → 322

Compiler

Compiled 6952 to 2442 computations (64.9% saved)

simplify268.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5046	16385

regimes5.3s (12%)

Compiler: Compiled 59926 to 41058 computations (31.5% saved)

bsearch0.0ms (0%)

regimes227.0ms (0.5%)

Compiler: Compiled 218 to 394 computations (-80.7% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

regimes45.0ms (0.1%)

Compiler: Compiled 44 to 142 computations (-222.7% saved)

bsearch0.0ms (0%)

regimes33.0ms (0.1%)

Accuracy

Total 0.0b remaining (73%)

Threshold costs 0.0b (73%)

Compiler

Compiled 20 to 92 computations (-360% saved)

bsearch3.0ms (0%)

Compiler: Compiled 51 to 40 computations (21.6% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	45	64
1	45	64

end0.0ms (0%)

sample7.6s (17.2%)

Algorithm

1×

intervals

Results

209.0ms	8000×	body	128	valid
38.0ms	1398×	body	128	invalid

Compiler

Compiled 8696 to 5994 computations (31.1% saved)

Pareto

0.5564379856492209