Details

analyze957.0ms (12.1%)

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
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify288.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	5502	16

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

Merged error: 1.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
1.1b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite46.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_8860`
71×	`*-un-lft-identity_binary64_8839`
51×	`times-frac_binary64_8845`
31×	`associate-r_binary64_8781`
27×	`add-cube-cbrt_binary64_8871`
22×	`distribute-lft-out--_binary64_8793` `difference-of-squares_binary64_8808`
10×	`add-cbrt-cube_binary64_8872` `add-exp-log_binary64_8874`
5×	`add-log-exp_binary64_8875` `pow1_binary64_8897` `associate-/r_binary64_8785` `associate-/l_binary64_8786`
4×	`associate-/r/_binary64_8787`
3×	`flip3--_binary64_8843` `associate-l_binary64_8782` `flip--_binary64_8814`
2×	`unswap-sqr_binary64_8807` `div-inv_binary64_8836` `prod-exp_binary64_8885` `div-exp_binary64_8887` `cbrt-unprod_binary64_8869` `associate-/l/_binary64_8788` `cbrt-undiv_binary64_8870`
1×	`pow-prod-down_binary64_8907` `div-sub_binary64_8844` `flip3-+_binary64_8842` `sum-log_binary64_8927` `frac-2neg_binary64_8850` `flip-+_binary64_8813` `clear-num_binary64_8838` `-commutative_binary64_8772` `+-commutative_binary64_8771` `associate-r/_binary64_8783`

Counts

3 → 113

Calls

3 calls:

17.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

series550.0ms (7%)

Counts

3 → 9

Calls

3 calls:

258.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
191.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
101.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	6210	2068

prune110.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	7	123

Merged error: 0b

Counts

123 → 7

Compiler

Compiled 2365 to 512 computations (78.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))))
0.0b	(/.f64 t (-.f64 a t))
0.0b	(-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))
1.1b	(*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))))

rewrite98.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`*-un-lft-identity_binary64_8839`
62×	`add-sqr-sqrt_binary64_8860`
51×	`times-frac_binary64_8845`
28×	`distribute-lft-out--_binary64_8793`
20×	`add-cube-cbrt_binary64_8871`
18×	`associate-r_binary64_8781`
16×	`difference-of-squares_binary64_8808`
10×	`associate-/r/_binary64_8787`
8×	`add-log-exp_binary64_8875` `add-cbrt-cube_binary64_8872` `add-exp-log_binary64_8874`
7×	`flip3--_binary64_8843` `flip--_binary64_8814`
6×	`pow1_binary64_8897` `distribute-rgt-out--_binary64_8795`
5×	`div-inv_binary64_8836` `associate-/r*_binary64_8785` `sub-neg_binary64_8832`
4×	`associate-*r/_binary64_8783`
3×	`associate-l_binary64_8782` `associate-/l*_binary64_8786`
2×	`frac-sub_binary64_8848` `sub-div_binary64_8846` `distribute-lft-in_binary64_8790` `associate-+r+_binary64_8773` `distribute-rgt-in_binary64_8791`
1×	`pow-prod-down_binary64_8907` `unswap-sqr_binary64_8807` `flip3-+_binary64_8842` `prod-exp_binary64_8885` `sum-log_binary64_8927` `div-exp_binary64_8887` `frac-2neg_binary64_8850` `flip-+_binary64_8813` `cbrt-unprod_binary64_8869` `clear-num_binary64_8838` `*-commutative_binary64_8772` `+-commutative_binary64_8771` `diff-log_binary64_8928` `cbrt-undiv_binary64_8870`

Counts

4 → 117

Calls

4 calls:

39.0ms	(*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))))
31.0ms	(-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))
8.0ms	(+.f64 x (*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))))
6.0ms	(/.f64 t (-.f64 a t))

series784.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

337.0ms	(+.f64 x (*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))))
256.0ms	(*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))))
133.0ms	(-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))
58.0ms	(/.f64 t (-.f64 a t))

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5193	2345

prune103.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	131	5	136

Merged error: 0b

Counts

136 → 5

Compiler

Compiled 2892 to 595 computations (79.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))))
2.5b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
2.5b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
2.5b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite125.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

333×	`*-un-lft-identity_binary64_8839`
277×	`cbrt-prod_binary64_8867`
273×	`add-sqr-sqrt_binary64_8860`
229×	`times-frac_binary64_8845`
106×	`distribute-lft-out--_binary64_8793`
93×	`add-cube-cbrt_binary64_8871`
78×	`difference-of-squares_binary64_8808`
58×	`swap-sqr_binary64_8806`
34×	`associate-l_binary64_8782` `associate-r_binary64_8781`
14×	`associate-/r/_binary64_8787`
11×	`pow1_binary64_8897`
9×	`unswap-sqr_binary64_8807` `pow1/3_binary64_8918`
7×	`flip3--_binary64_8843` `div-inv_binary64_8836` `cbrt-div_binary64_8868` `flip--_binary64_8814`
6×	`add-exp-log_binary64_8874`
4×	`add-log-exp_binary64_8875` `add-cbrt-cube_binary64_8872`
2×	`pow-prod-down_binary64_8907` `pow-sqr_binary64_8812` `pow-prod-up_binary64_8906`
1×	`pow-plus_binary64_8899` `pow2_binary64_8917` `prod-exp_binary64_8885` `frac-times_binary64_8849` `associate-l/_binary64_8784` `cbrt-unprod_binary64_8869` `-commutative_binary64_8772` `associate-*r/_binary64_8783`

Counts

4 → 276

Calls

4 calls:

42.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))))
10.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
9.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
8.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))

series2.4s (30.5%)

Counts

4 → 12

Calls

4 calls:

703.0ms	(*.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))))
581.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
565.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
555.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))

simplify130.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4884	8774
1	4884	8774

prune321.0ms (4.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	288	5	293

Merged error: 0b

Counts

293 → 5

Compiler

Compiled 11608 to 1848 computations (84.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))
0.0b	(/.f64 y (-.f64 a t))
7.6b	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))

rewrite37.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_8860`
39×	`*-un-lft-identity_binary64_8839`
31×	`times-frac_binary64_8845`
23×	`add-cube-cbrt_binary64_8871`
21×	`associate-l_binary64_8782`
10×	`add-cbrt-cube_binary64_8872` `add-exp-log_binary64_8874`
8×	`distribute-lft-out--_binary64_8793` `difference-of-squares_binary64_8808`
5×	`add-log-exp_binary64_8875` `pow1_binary64_8897` `associate-/r_binary64_8785` `associate-r*_binary64_8781`
4×	`flip3--_binary64_8843` `associate-/r/_binary64_8787` `flip--_binary64_8814` `sub-neg_binary64_8832`
3×	`associate-/l*_binary64_8786`
2×	`unswap-sqr_binary64_8807` `div-inv_binary64_8836` `prod-exp_binary64_8885` `distribute-lft-in_binary64_8790` `associate-+r+_binary64_8773` `div-exp_binary64_8887` `frac-times_binary64_8849` `cbrt-unprod_binary64_8869` `distribute-rgt-in_binary64_8791` `associate-*r/_binary64_8783` `cbrt-undiv_binary64_8870`
1×	`pow-prod-down_binary64_8907` `flip3-+_binary64_8842` `sum-log_binary64_8927` `frac-2neg_binary64_8850` `associate-l/_binary64_8784` `flip-+_binary64_8813` `clear-num_binary64_8838` `-commutative_binary64_8772` `+-commutative_binary64_8771`

Counts

3 → 98

Calls

3 calls:

14.0ms	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))
6.0ms	(/.f64 y (-.f64 a t))
4.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))

series740.0ms (9.4%)

Counts

3 → 9

Calls

3 calls:

352.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))
322.0ms	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))
66.0ms	(/.f64 y (-.f64 a t))

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4969	1664
1	4969	1664

prune73.0ms (0.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	107	5	112

Merged error: 0b

Counts

112 → 5

Compiler

Compiled 1874 to 413 computations (78% saved)

regimes77.0ms (1%)

Compiler: Compiled 504 to 402 computations (20.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	22
1	33	22

end0.0ms (0%)

sample776.0ms (9.8%)

Algorithm

1×

intervals

Results

319.0ms	7998×	body	128	valid
30.0ms	686×	body	128	invalid
0.0ms	2×	body	512	valid

Compiler

Compiled 150 to 104 computations (30.7% saved)

Details

analyze957.0ms (12.1%)

sample22.0ms (0.3%)

simplify288.0ms (3.6%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite46.0ms (0.6%)

series550.0ms (7%)

simplify70.0ms (0.9%)

prune110.0ms (1.4%)

localize9.0ms (0.1%)

rewrite98.0ms (1.2%)

series784.0ms (9.9%)

simplify72.0ms (0.9%)

prune103.0ms (1.3%)

localize15.0ms (0.2%)

rewrite125.0ms (1.6%)

series2.4s (30.5%)

simplify130.0ms (1.7%)

prune321.0ms (4.1%)

localize9.0ms (0.1%)

rewrite37.0ms (0.5%)

series740.0ms (9.4%)

simplify56.0ms (0.7%)

prune73.0ms (0.9%)

regimes77.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample776.0ms (9.8%)

Profiling