Details

analyze1.8s (1.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4965	496
1	4965	496
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
1.1%	98.6%	0.3%	12
1.9%	97.8%	0.3%	13
7%	92.7%	0.3%	14

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample29.0ms (0%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 43 to 39 computations (9.3% saved)

simplify96.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5141	31

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

25.7b

Counts

2 → 1

Compiler

Compiled 42 to 31 computations (26.2% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)
1.4b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
1.9b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
23.9b	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

rewrite157.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

25.6b

Rules

38×	`*-un-lft-identity_binary64_21902`
18×	`add-sqr-sqrt_binary64_21924`
16×	`add-cube-cbrt_binary64_21937`
15×	`times-frac_binary64_21908`
13×	`distribute-lft-out_binary64_21853`
11×	`add-log-exp_binary64_21941`
10×	`associate-*l/_binary64_21845`
8×	`add-exp-log_binary64_21940` `add-cbrt-cube_binary64_21938`
7×	`flip3-+_binary64_21905` `flip-+_binary64_21876`
6×	`pow1_binary64_21963`
5×	`associate-/r*_binary64_21846`
4×	`frac-add_binary64_21910` `associate-l_binary64_21843`
3×	`associate-/l_binary64_21847` `associate-r*_binary64_21842`
2×	`flip3--_binary64_21906` `associate-/l/_binary64_21849` `flip--_binary64_21877` `associate-/r/_binary64_21848` `sum-log_binary64_21993` `diff-log_binary64_21994`
1×	`div-exp_binary64_21953` `cbrt-undiv_binary64_21936` `frac-2neg_binary64_21913` `div-sub_binary64_21907` `clear-num_binary64_21901` `div-inv_binary64_21899` `sub-neg_binary64_21895` `cancel-sign-sub-inv_binary64_21868` `associate--l+_binary64_21839` `+-commutative_binary64_21832` `pow-prod-down_binary64_21973` `prod-exp_binary64_21951` `cbrt-unprod_binary64_21935` `unswap-sqr_binary64_21870` `*-commutative_binary64_21833`

Counts

4 → 90

Calls

4 calls:

22.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
10.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
8.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
6.0ms	(*.f64 (+.f64 x y) z)

Compiler

Compiled 3256 to 447 computations (86.3% saved)

series1.9s (1.3%)

Error

5.0b

Counts

4 → 129

Calls

4 calls:

946.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
451.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
298.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
85.0ms	(*.f64 (+.f64 x y) z)

Compiler

Compiled 11230 to 5543 computations (50.6% saved)

simplify86.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5214	8732

prune221.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	211	8	219
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	211	9	220

Error

4.9b

Counts

220 → 9

Compiler

Compiled 7808 to 1321 computations (83.1% saved)

localize24.0ms (0%)

Local error

Found 4 expressions with local error:

6.3b	(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (.f64 y b)))) (cbrt.f64 (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (.f64 y b))))) (.f64 (cbrt.f64 (+.f64 y (+.f64 t x))) (cbrt.f64 (+.f64 y (+.f64 t x)))))
24.8b	(cbrt.f64 (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (*.f64 y b))))
24.8b	(cbrt.f64 (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (*.f64 y b))))
24.8b	(cbrt.f64 (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (*.f64 y b))))

rewrite401.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

4.9b

Rules

114×	`cbrt-div_binary64_21934`
76×	`associate-*r/_binary64_21844`
68×	`frac-add_binary64_21910`
57×	`flip3-+_binary64_21905` `flip-+_binary64_21876`
48×	`associate-/l/_binary64_21849`
40×	`frac-times_binary64_21912`
34×	`flip3--_binary64_21906` `flip--_binary64_21877`
16×	`add-exp-log_binary64_21940`
9×	`cbrt-prod_binary64_21933`
8×	`add-cbrt-cube_binary64_21938` `associate-*l/_binary64_21845` `associate-/r/_binary64_21848`
7×	`add-cube-cbrt_binary64_21937` `add-sqr-sqrt_binary64_21924` `*-un-lft-identity_binary64_21902`
4×	`pow1_binary64_21963` `add-log-exp_binary64_21941` `prod-exp_binary64_21951` `div-exp_binary64_21953` `cbrt-undiv_binary64_21936` `cbrt-unprod_binary64_21935`
3×	`pow1/3_binary64_21984`
1×	`frac-2neg_binary64_21913` `times-frac_binary64_21908` `clear-num_binary64_21901` `div-inv_binary64_21899` `associate-/l_binary64_21847` `associate-/r_binary64_21846`

Counts

4 → 128

Calls

4 calls:

45.0ms	(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (.f64 y b)))) (cbrt.f64 (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (.f64 y b))))) (.f64 (cbrt.f64 (+.f64 y (+.f64 t x))) (cbrt.f64 (+.f64 y (+.f64 t x)))))
15.0ms	(cbrt.f64 (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (*.f64 y b))))
12.0ms	(cbrt.f64 (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (*.f64 y b))))
12.0ms	(cbrt.f64 (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (*.f64 y b))))

Compiler

Compiled 16328 to 1280 computations (92.2% saved)

series2.3min (93.6%)

Error

4.9b

Counts

4 → 138

Calls

4 calls:

2.2min	(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (.f64 y b)))) (cbrt.f64 (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (.f64 y b))))) (.f64 (cbrt.f64 (+.f64 y (+.f64 t x))) (cbrt.f64 (+.f64 y (+.f64 t x)))))
1.6s	(cbrt.f64 (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (*.f64 y b))))
1.6s	(cbrt.f64 (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (*.f64 y b))))
1.6s	(cbrt.f64 (+.f64 (.f64 z (+.f64 y x)) (-.f64 (.f64 a (+.f64 y t)) (*.f64 y b))))

Compiler

Compiled 129271 to 71606 computations (44.6% saved)

simplify213.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

266 → 266

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5209	29701

prune929.0ms (0.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	266	0	266
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	266	9	275

Error

4.9b

Counts

275 → 9

Compiler

Compiled 35332 to 7716 computations (78.2% saved)

localize3.0ms (0%)

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

4.9b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 4.9b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms (0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	2	2
Total	9	9

Error

4.9b

Counts

9 → 9

Compiler

Compiled 93 to 72 computations (22.6% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

4.9b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 4.9b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	3	3
Total	9	9

Error

4.9b

Counts

9 → 9

Compiler

Compiled 0 to 0 computations (0% saved)

regimes1.7s (1.2%)

Accuracy

Total 3.1b remaining (41.1%)

Threshold costs 0b (0%)

Compiler

Compiled 12182 to 7012 computations (42.4% saved)

bsearch4.0ms (0%)

Compiler: Compiled 21 to 16 computations (23.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	112
1	66	112

end0.0ms (0%)

sample1.7s (1.2%)

Algorithm

1×

intervals

Results

429.0ms	7997×	body	128	valid
0.0ms	2×	body	256	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 1876 to 1047 computations (44.2% saved)

Details

analyze1.8s (1.3%)

sample29.0ms (0%)

simplify96.0ms (0.1%)

prune3.0ms (0%)

localize14.0ms (0%)

rewrite157.0ms (0.1%)

series1.9s (1.3%)

simplify86.0ms (0.1%)

prune221.0ms (0.2%)

localize24.0ms (0%)

rewrite401.0ms (0.3%)

series2.3min (93.6%)

simplify213.0ms (0.1%)

prune929.0ms (0.6%)

localize3.0ms (0%)

rewrite2.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0%)

prune5.0ms (0%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0%)

prune0.0ms (0%)

regimes1.7s (1.2%)

bsearch4.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (1.2%)

Profiling