Details

analyze920.0ms (3.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	96
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample89.0ms (0.3%)

Algorithm

1×

intervals

Results

22.0ms	122×	body	256	valid
16.0ms	283×	pre	128	true
13.0ms	48×	body	512	valid
8.0ms	86×	body	128	valid
2.0ms	27×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify537.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (527.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune7.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

53.6b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.3b	(.f64 (.f64 3 a) c)
26.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite284.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

50.7b

Rules

20×	`add-sqr-sqrt_binary64_782`
14×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `*-un-lft-identity_binary64_760`
9×	`pow1_binary64_821`
8×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795`
6×	`difference-of-squares_binary64_729` `times-frac_binary64_766` `associate-/l*_binary64_705`
4×	`cancel-sign-sub-inv_binary64_726` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
3×	`flip3--_binary64_764` `flip--_binary64_735` `sqrt-prod_binary64_776` `distribute-lft-out--_binary64_712` `pow-prod-down_binary64_831` `associate-r_binary64_700`
2×	`diff-log_binary64_852` `sub-neg_binary64_753` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-/l/_binary64_707`
1×	`associate-l_binary64_701` `-commutative_binary64_691` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/r_binary64_704`

Counts

4 → 77

Calls

4 calls:

24.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
20.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
11.0ms	(.f64 (.f64 3 a) c)
8.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series1.2s (4.5%)

Error

0.3b

Counts

4 → 60

Calls

4 calls:

387.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
280.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
264.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
94.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify94.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5268	2923

prune280.0ms (1.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	131	6	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	6	138

Error

0.2b

Counts

138 → 6

Compiler

Compiled 3138 to 1731 computations (44.8% saved)

localize62.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite1.0s (4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

109×	`add-exp-log_binary64_798`
54×	`prod-exp_binary64_809`
42×	`add-sqr-sqrt_binary64_782`
30×	`div-exp_binary64_811`
29×	`add-cbrt-cube_binary64_796` `unpow-prod-down_binary64_839`
24×	`pow-to-exp_binary64_829` `pow-exp_binary64_828`
22×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
19×	`times-frac_binary64_766` `associate-/r_binary64_704` `associate-r*_binary64_700`
16×	`cube-prod_binary64_788` `unswap-sqr_binary64_728`
15×	`sqr-pow_binary64_732`
13×	`associate-l_binary64_701`
10×	`cbrt-unprod_binary64_793`
6×	`cbrt-undiv_binary64_794`
4×	`pow1_binary64_821` `add-log-exp_binary64_799` `unpow3_binary64_826` `cube-mult_binary64_790`
2×	`frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/l_binary64_705` `-commutative_binary64_691`

Counts

4 → 178

Calls

4 calls:

26.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
19.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
18.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
18.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9229 to 5770 computations (37.5% saved)

series1.5s (5.8%)

Error

0.2b

Counts

4 → 30

Calls

4 calls:

570.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
401.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
219.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
195.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3052 computations (24.6% saved)

simplify167.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5093	3032

prune1.0s (4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	208	6	214

Error

0.2b

Counts

214 → 6

Compiler

Compiled 10262 to 6369 computations (37.9% saved)

localize63.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 -3/2 (/.f64 (.f64 a c) b))
0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite821.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

48×	`pow1_binary64_821`
33×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
19×	`pow-prod-down_binary64_831`
14×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
12×	`add-sqr-sqrt_binary64_782`
11×	`associate-*r/_binary64_702`
10×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
8×	`associate-r_binary64_700`
7×	`associate-/l/_binary64_707`
6×	`times-frac_binary64_766`
5×	`frac-sub_binary64_769`
4×	`add-log-exp_binary64_799` `pow-prod-up_binary64_830` `pow-sqr_binary64_733` `associate-l_binary64_701` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-add_binary64_768`
3×	`pow-unpow_binary64_837` `associate-/l*_binary64_705`
2×	`pow-pow_binary64_832` `pow-exp_binary64_828` `rem-cube-cbrt_binary64_783` `pow-plus_binary64_823` `*-commutative_binary64_691` `div-inv_binary64_757` `flip3-+_binary64_763` `flip-+_binary64_734`
1×	`unpow-prod-down_binary64_839` `pow-to-exp_binary64_829` `unpow3_binary64_826` `cube-mult_binary64_790` `cube-prod_binary64_788` `sqr-pow_binary64_732` `pow2_binary64_841` `swap-sqr_binary64_727` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `flip3--_binary64_764` `flip--_binary64_735` `associate-/r*_binary64_704` `unswap-sqr_binary64_728`

Counts

4 → 112

Calls

4 calls:

62.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
18.0ms	(.f64 (.f64 a c) (*.f64 a c))
15.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
8.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 7957 to 4717 computations (40.7% saved)

series1.3s (5.1%)

Error

0.2b

Counts

4 → 42

Calls

4 calls:

588.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
244.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
190.0ms	(pow.f64 (*.f64 a c) 3)
168.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4327 to 3153 computations (27.1% saved)

simplify162.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4954	3873
1	4954	3873

prune907.0ms (3.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	149	5	154
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	150	10	160

Error

0.1b

Counts

160 → 10

Compiler

Compiled 9468 to 5852 computations (38.2% saved)

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 1/3 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))) a))
0.5b	(pow.f64 (*.f64 a c) 2)
0.7b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)

rewrite548.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

20×	`add-sqr-sqrt_binary64_782`
18×	`add-exp-log_binary64_798`
15×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760` `pow1_binary64_821`
13×	`associate-r_binary64_700`
12×	`add-cbrt-cube_binary64_796`
10×	`times-frac_binary64_766`
9×	`pow-unpow_binary64_837`
6×	`pow-pow_binary64_832` `pow-exp_binary64_828`
5×	`prod-exp_binary64_809`
4×	`pow-prod-down_binary64_831` `add-log-exp_binary64_799`
3×	`unpow-prod-down_binary64_839` `pow-to-exp_binary64_829` `sqr-pow_binary64_732` `cbrt-unprod_binary64_793` `associate-l_binary64_701`
2×	`rem-cube-cbrt_binary64_783` `unswap-sqr_binary64_728`
1×	`unpow3_binary64_826` `cube-mult_binary64_790` `cube-prod_binary64_788` `unpow2_binary64_825` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-r/_binary64_702` `div-inv_binary64_757` `-commutative_binary64_691`

Counts

4 → 89

Calls

4 calls:

53.0ms	(.f64 1/3 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))) a))
8.0ms	(pow.f64 (*.f64 a c) 3)
8.0ms	(pow.f64 (*.f64 a c) 4)
8.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 5630 to 3513 computations (37.6% saved)

series1.2s (4.7%)

Error

0.1b

Counts

4 → 39

Calls

4 calls:

596.0ms	(.f64 1/3 (/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))) a))
187.0ms	(pow.f64 (*.f64 a c) 4)
178.0ms	(pow.f64 (*.f64 a c) 3)
145.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 3724 to 2786 computations (25.2% saved)

simplify113.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5247	3709

prune578.0ms (2.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	128	10	138

Error

0.1b

Counts

138 → 10

Compiler

Compiled 6540 to 4047 computations (38.1% saved)

regimes3.2s (12.2%)

Accuracy

Total 1.3b remaining (90%)

Threshold costs 0b (0%)

Compiler

Compiled 25829 to 17571 computations (32% saved)

bsearch0.0ms (0%)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	203	67
1	203	67

end0.0ms (0%)

sample9.7s (37.7%)

Algorithm

1×

intervals

Results

730.0ms	3773×	body	256	valid
527.0ms	8828×	pre	128	true
430.0ms	1494×	body	512	valid
277.0ms	2733×	body	128	valid
84.0ms	828×	body	128	nan

Compiler

Compiled 5068 to 3450 computations (31.9% saved)

Details

analyze920.0ms (3.6%)

sample89.0ms (0.3%)

simplify537.0ms (2.1%)

prune7.0ms (0%)

localize19.0ms (0.1%)

rewrite284.0ms (1.1%)

series1.2s (4.5%)

simplify94.0ms (0.4%)

prune280.0ms (1.1%)

localize62.0ms (0.2%)

rewrite1.0s (4%)

series1.5s (5.8%)

simplify167.0ms (0.6%)

prune1.0s (4%)

localize63.0ms (0.2%)

rewrite821.0ms (3.2%)

series1.3s (5.1%)

simplify162.0ms (0.6%)

prune907.0ms (3.5%)

localize54.0ms (0.2%)

rewrite548.0ms (2.1%)

series1.2s (4.7%)

simplify113.0ms (0.4%)

prune578.0ms (2.2%)

regimes3.2s (12.2%)

bsearch0.0ms (0%)

simplify9.0ms (0%)

end0.0ms (0%)

sample9.7s (37.7%)

Profiling