Details

analyze415.0ms (7.5%)

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
25%	74.9%	0.2%	7
25%	74.9%	0.2%	8
34.3%	65.5%	0.2%	9
39%	60.8%	0.2%	10
48.3%	51.5%	0.2%	11
53.7%	46.1%	0.2%	12
63.1%	36.7%	0.2%	13
64%	35.6%	0.4%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample17.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	16×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify101.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	126	10
1	126	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

1.5b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.5b	(/.f64 x (-.f64 y (*.f64 z t)))
0.0b	(-.f64 y (*.f64 z t))
0.0b	(-.f64 y (*.f64 z t))
1.5b	(/.f64 x (-.f64 y (*.f64 z t)))

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_14390` `add-sqr-sqrt_binary64_14412` `add-cube-cbrt_binary64_14425`
9×	`times-frac_binary64_14396`
4×	`add-log-exp_binary64_14429` `add-exp-log_binary64_14428` `add-cbrt-cube_binary64_14426`
3×	`associate-/r_binary64_14334` `associate-/l_binary64_14335`
2×	`associate-/r/_binary64_14336` `flip3--_binary64_14394` `pow1_binary64_14451` `flip--_binary64_14365`
1×	`sub-neg_binary64_14383` `clear-num_binary64_14389` `diff-log_binary64_14482` `div-exp_binary64_14441` `cbrt-undiv_binary64_14424` `cancel-sign-sub-inv_binary64_14356` `frac-2neg_binary64_14401` `div-inv_binary64_14387`

Counts

2 → 41

Calls

4 calls:

5.0ms	(/.f64 x (-.f64 y (*.f64 z t)))
3.0ms	(-.f64 y (*.f64 z t))
0.0ms	(-.f64 y (*.f64 z t))
0.0ms	(/.f64 x (-.f64 y (*.f64 z t)))

series284.0ms (5.1%)

Counts

2 → 44

Calls

2 calls:

208.0ms	(/.f64 x (-.f64 y (*.f64 z t)))
76.0ms	(-.f64 y (*.f64 z t))

Compiler

Compiled 902 to 791 computations (12.3% saved)

simplify67.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4964	1203
1	4964	1203

prune75.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	77	8	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	9	86

Error

1.5b

Counts

86 → 9

Compiler

Compiled 1112 to 270 computations (75.7% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

1.6b	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))
0.4b	(/.f64 1 (-.f64 y (*.f64 z t)))
0.0b	(-.f64 y (*.f64 z t))
0.0b	(-.f64 y (*.f64 z t))
0.4b	(/.f64 1 (-.f64 y (*.f64 z t)))
1.6b	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_14412`
20×	`*-un-lft-identity_binary64_14390` `times-frac_binary64_14396`
19×	`add-cube-cbrt_binary64_14425`
16×	`add-exp-log_binary64_14428`
15×	`associate-r_binary64_14330`
10×	`add-cbrt-cube_binary64_14426`
6×	`pow1_binary64_14451`
5×	`add-log-exp_binary64_14429`
4×	`div-exp_binary64_14441` `associate-/r/_binary64_14336` `prod-exp_binary64_14439`
3×	`unswap-sqr_binary64_14358` `associate-/r_binary64_14334` `flip3--_binary64_14394` `associate-/l_binary64_14335` `associate-l_binary64_14331` `flip--_binary64_14365`
2×	`cbrt-unprod_binary64_14423` `1-exp_binary64_14434` `cbrt-undiv_binary64_14424` `rec-exp_binary64_14440` `div-inv_binary64_14387`
1×	`sub-neg_binary64_14383` `clear-num_binary64_14389` `diff-log_binary64_14482` `pow-prod-down_binary64_14461` `cancel-sign-sub-inv_binary64_14356` `un-div-inv_binary64_14388` `inv-pow_binary64_14475` `pow-flip_binary64_14464` `associate-r/_binary64_14332` `frac-2neg_binary64_14401` `-commutative_binary64_14321`

Counts

3 → 83

Calls

6 calls:

9.0ms	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))
5.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))
3.0ms	(-.f64 y (*.f64 z t))
0.0ms	(-.f64 y (*.f64 z t))
0.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))

series416.0ms (7.5%)

Counts

3 → 67

Calls

3 calls:

209.0ms	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))
127.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))
80.0ms	(-.f64 y (*.f64 z t))

Compiler

Compiled 1613 to 1420 computations (12% saved)

simplify79.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5667	2121

prune109.0ms (2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	147	3	150
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	148	11	159

Error

1.4b

Counts

159 → 11

Compiler

Compiled 2172 to 714 computations (67.1% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

1.5b	(/.f64 (-.f64 y (*.f64 z t)) x)
0.7b	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
0.0b	(-.f64 y (*.f64 z t))
0.0b	(-.f64 y (*.f64 z t))
0.7b	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
1.5b	(/.f64 (-.f64 y (*.f64 z t)) x)

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64_14396`
53×	`*-un-lft-identity_binary64_14390` `add-sqr-sqrt_binary64_14412` `add-cube-cbrt_binary64_14425`
16×	`add-exp-log_binary64_14428` `associate-/r*_binary64_14334`
10×	`add-cbrt-cube_binary64_14426`
8×	`div-exp_binary64_14441`
6×	`associate-/l*_binary64_14335` `div-inv_binary64_14387`
5×	`add-log-exp_binary64_14429`
4×	`cbrt-undiv_binary64_14424` `pow1_binary64_14451`
2×	`1-exp_binary64_14434` `clear-num_binary64_14389` `rec-exp_binary64_14440` `associate-/l/_binary64_14337` `flip3--_binary64_14394` `frac-2neg_binary64_14401` `flip--_binary64_14365`
1×	`sub-neg_binary64_14383` `diff-log_binary64_14482` `cancel-sign-sub-inv_binary64_14356` `associate-/r/_binary64_14336` `inv-pow_binary64_14475` `pow-flip_binary64_14464` `div-sub_binary64_14395`

Counts

3 → 118

Calls

6 calls:

7.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
5.0ms	(/.f64 (-.f64 y (*.f64 z t)) x)
3.0ms	(-.f64 y (*.f64 z t))
0.0ms	(-.f64 y (*.f64 z t))
0.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))

series468.0ms (8.4%)

Counts

3 → 65

Calls

3 calls:

203.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
189.0ms	(/.f64 (-.f64 y (*.f64 z t)) x)
76.0ms	(-.f64 y (*.f64 z t))

Compiler

Compiled 1277 to 1161 computations (9.1% saved)

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4994	3063
1	4994	3063

prune125.0ms (2.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	1	7	8
Picked	1	0	1
Done	0	2	2
Total	184	10	194

Error

1.4b

Counts

194 → 10

Compiler

Compiled 2739 to 717 computations (73.8% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

1.7b	(.f64 (-.f64 y (.f64 z t)) (/.f64 1 x))
0.7b	(/.f64 1 (.f64 (-.f64 y (.f64 z t)) (/.f64 1 x)))
0.0b	(-.f64 y (*.f64 z t))
0.0b	(-.f64 y (*.f64 z t))
0.7b	(/.f64 1 (.f64 (-.f64 y (.f64 z t)) (/.f64 1 x)))
1.7b	(.f64 (-.f64 y (.f64 z t)) (/.f64 1 x))

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-exp-log_binary64_14428`
20×	`add-sqr-sqrt_binary64_14412`
18×	`div-exp_binary64_14441`
17×	`add-cbrt-cube_binary64_14426`
16×	`prod-exp_binary64_14439`
14×	`*-un-lft-identity_binary64_14390` `times-frac_binary64_14396`
13×	`associate-r_binary64_14330` `add-cube-cbrt_binary64_14425`
9×	`1-exp_binary64_14434` `rec-exp_binary64_14440`
8×	`pow1_binary64_14451`
6×	`associate-/r/_binary64_14336`
5×	`add-log-exp_binary64_14429` `cbrt-undiv_binary64_14424` `flip3--_binary64_14394` `flip--_binary64_14365`
4×	`cbrt-unprod_binary64_14423` `associate-*l/_binary64_14333` `frac-times_binary64_14400`
3×	`unswap-sqr_binary64_14358` `associate-/l_binary64_14335` `associate-l*_binary64_14331`
2×	`pow-prod-down_binary64_14461` `un-div-inv_binary64_14388` `pow-flip_binary64_14464` `associate-*r/_binary64_14332` `div-inv_binary64_14387`
1×	`sub-neg_binary64_14383` `clear-num_binary64_14389` `diff-log_binary64_14482` `cancel-sign-sub-inv_binary64_14356` `inv-pow_binary64_14475` `associate-/r_binary64_14334` `frac-2neg_binary64_14401` `-commutative_binary64_14321`

Counts

3 → 96

Calls

6 calls:

10.0ms	(.f64 (-.f64 y (.f64 z t)) (/.f64 1 x))
9.0ms	(/.f64 1 (.f64 (-.f64 y (.f64 z t)) (/.f64 1 x)))
3.0ms	(-.f64 y (*.f64 z t))
0.0ms	(-.f64 y (*.f64 z t))
0.0ms	(/.f64 1 (.f64 (-.f64 y (.f64 z t)) (/.f64 1 x)))

series475.0ms (8.5%)

Counts

3 → 65

Calls

3 calls:

201.0ms	(/.f64 1 (.f64 (-.f64 y (.f64 z t)) (/.f64 1 x)))
195.0ms	(.f64 (-.f64 y (.f64 z t)) (/.f64 1 x))
79.0ms	(-.f64 y (*.f64 z t))

Compiler

Compiled 1331 to 1215 computations (8.7% saved)

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5037	2019

prune95.0ms (1.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	161	10	171

Error

1.4b

Counts

171 → 10

Compiler

Compiled 2027 to 657 computations (67.6% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	208	736
1	208	736

regimes360.0ms (6.5%)

Accuracy

Total 0.1b remaining (3.6%)

Threshold costs 0.1b (3.6%)

Compiler

Compiled 3447 to 2546 computations (26.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

end0.0ms (0%)

sample2.2s (39.7%)

Algorithm

1×

intervals

Results

233.0ms	8000×	body	128	valid
9.0ms	328×	body	128	invalid

Compiler

Compiled 1506 to 1095 computations (27.3% saved)

Pareto

0.16452644605398986

Details

analyze415.0ms (7.5%)

sample17.0ms (0.3%)

simplify101.0ms (1.8%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite11.0ms (0.2%)

series284.0ms (5.1%)

simplify67.0ms (1.2%)

prune75.0ms (1.3%)

localize7.0ms (0.1%)

rewrite24.0ms (0.4%)

series416.0ms (7.5%)

simplify79.0ms (1.4%)

prune109.0ms (2%)

localize7.0ms (0.1%)

rewrite25.0ms (0.5%)

series468.0ms (8.4%)

simplify69.0ms (1.2%)

prune125.0ms (2.2%)

localize8.0ms (0.1%)

rewrite29.0ms (0.5%)

series475.0ms (8.5%)

simplify69.0ms (1.2%)

prune95.0ms (1.7%)

simplify11.0ms (0.2%)

regimes360.0ms (6.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.2s (39.7%)

Profiling