Details

analyze2.1s (11.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5046	1591
0	9	9
1	9	9

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample95.0ms (0.5%)

Algorithm

1×

intervals

Results

33.0ms	366×	body	128	invalid
19.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify619.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (613.0ms)

Iter	Nodes	Cost
0	4635	43
1	4635	43

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

11.2b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (.f64 c z) (.f64 t i))
3.8b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.0b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
5.4b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

rewrite155.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

11.0b

Rules

16×	`add-sqr-sqrt_binary64_21242`
10×	`pow1_binary64_21281` `add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256` `add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220`
9×	`associate-l_binary64_21161` `associate-r_binary64_21160`
7×	`sub-neg_binary64_21213` `cancel-sign-sub-inv_binary64_21186`
6×	`add-log-exp_binary64_21259` `distribute-rgt-in_binary64_21170` `distribute-lft-in_binary64_21169` `associate-*r/_binary64_21162`
4×	`flip3--_binary64_21224` `flip--_binary64_21195`
3×	`pow-prod-down_binary64_21291` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253` `unswap-sqr_binary64_21188` `*-commutative_binary64_21151`
1×	`diff-log_binary64_21312`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
6.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
4.0ms	(-.f64 (.f64 c z) (.f64 t i))

Compiler

Compiled 3151 to 437 computations (86.1% saved)

series1.1s (5.5%)

Error

2.6b

Counts

4 → 105

Calls

4 calls:

280.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
280.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
264.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
156.0ms	(-.f64 (.f64 c z) (.f64 t i))

Compiler

Compiled 7671 to 3922 computations (48.9% saved)

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4952	2443
1	4952	2443

prune206.0ms (1.1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	172	17	189
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	173	17	190

Error

4.0b

Counts

190 → 17

Compiler

Compiled 6537 to 847 computations (87% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.4b	(.f64 (-.f64 (.f64 y z) (*.f64 a t)) (cbrt.f64 x))
2.7b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 y z) (*.f64 a t)) (cbrt.f64 x)))
5.0b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
5.4b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

rewrite147.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

4.0b

Rules

22×	`pow1_binary64_21281` `add-exp-log_binary64_21258`
19×	`add-sqr-sqrt_binary64_21242`
15×	`add-cbrt-cube_binary64_21256`
13×	`associate-r_binary64_21160`
11×	`pow-prod-down_binary64_21291` `prod-exp_binary64_21269` `add-cube-cbrt_binary64_21255` `cbrt-unprod_binary64_21253` `*-un-lft-identity_binary64_21220`
10×	`associate-l_binary64_21161`
6×	`associate-*r/_binary64_21162`
4×	`add-log-exp_binary64_21259` `unswap-sqr_binary64_21188` `sub-neg_binary64_21213` `distribute-rgt-in_binary64_21170` `cancel-sign-sub-inv_binary64_21186` `distribute-lft-in_binary64_21169` `flip3--_binary64_21224` `flip--_binary64_21195` `-commutative_binary64_21151` `associate-l/_binary64_21163` `cbrt-prod_binary64_21251`

Counts

4 → 96

Calls

4 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 y z) (*.f64 a t)) (cbrt.f64 x)))
9.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
7.0ms	(.f64 (-.f64 (.f64 y z) (*.f64 a t)) (cbrt.f64 x))
6.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

Compiler

Compiled 4356 to 512 computations (88.2% saved)

series1.6s (8.4%)

Error

2.6b

Counts

4 → 108

Calls

4 calls:

641.0ms	(.f64 (-.f64 (.f64 y z) (*.f64 a t)) (cbrt.f64 x))
300.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 y z) (*.f64 a t)) (cbrt.f64 x)))
290.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
289.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

Compiler

Compiled 9630 to 4823 computations (49.9% saved)

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5093	2853

prune210.0ms (1.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	200	4	204
Fresh	0	16	16
Picked	1	0	1
Done	0	0	0
Total	201	20	221

Error

4.0b

Counts

221 → 20

Compiler

Compiled 8262 to 1018 computations (87.7% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.4b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
6.4b	(cbrt.f64 (.f64 x (-.f64 (.f64 y z) (*.f64 a t))))
6.4b	(cbrt.f64 (.f64 x (-.f64 (.f64 y z) (*.f64 a t))))
6.4b	(cbrt.f64 (.f64 x (-.f64 (.f64 y z) (*.f64 a t))))

rewrite101.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

4.0b

Rules

8×	`associate-*r/_binary64_21162` `add-sqr-sqrt_binary64_21242`
6×	`pow1_binary64_21281` `add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256` `add-cube-cbrt_binary64_21255` `cbrt-div_binary64_21252` `*-un-lft-identity_binary64_21220`
4×	`add-log-exp_binary64_21259` `flip3--_binary64_21224` `flip--_binary64_21195`
3×	`pow1/3_binary64_21302` `cbrt-prod_binary64_21251` `associate-l_binary64_21161` `associate-r_binary64_21160`
2×	`sub-neg_binary64_21213` `distribute-rgt-in_binary64_21170` `cancel-sign-sub-inv_binary64_21186` `distribute-lft-in_binary64_21169`
1×	`pow-prod-down_binary64_21291` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253` `unswap-sqr_binary64_21188` `*-commutative_binary64_21151`

Counts

4 → 57

Calls

4 calls:

7.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
5.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 y z) (*.f64 a t))))
5.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 y z) (*.f64 a t))))
5.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 y z) (*.f64 a t))))

Compiler

Compiled 3519 to 316 computations (91% saved)

series2.0s (10.5%)

Error

2.5b

Counts

4 → 102

Calls

4 calls:

529.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 y z) (*.f64 a t))))
527.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 y z) (*.f64 a t))))
522.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 y z) (*.f64 a t))))
296.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

Compiler

Compiled 17277 to 8196 computations (52.6% saved)

simplify64.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5038	3658

prune238.0ms (1.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	157	2	159
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	161	18	179

Error

3.0b

Counts

179 → 18

Compiler

Compiled 10010 to 1512 computations (84.9% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.0b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
7.4b	(cbrt.f64 (-.f64 (.f64 c a) (.f64 y i)))
7.4b	(cbrt.f64 (-.f64 (.f64 a c) (.f64 i y)))
7.4b	(cbrt.f64 (-.f64 (.f64 a c) (.f64 i y)))

rewrite109.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

3.0b

Rules

11×	`add-sqr-sqrt_binary64_21242`
9×	`add-cube-cbrt_binary64_21255` `cbrt-prod_binary64_21251` `*-un-lft-identity_binary64_21220`
6×	`pow1_binary64_21281` `add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256` `cbrt-div_binary64_21252`
4×	`add-log-exp_binary64_21259` `flip3--_binary64_21224` `flip--_binary64_21195`
3×	`pow1/3_binary64_21302` `associate-l_binary64_21161` `associate-r_binary64_21160`
2×	`sub-neg_binary64_21213` `distribute-rgt-in_binary64_21170` `cancel-sign-sub-inv_binary64_21186` `distribute-lft-in_binary64_21169` `associate-*r/_binary64_21162`
1×	`pow-prod-down_binary64_21291` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253` `unswap-sqr_binary64_21188` `*-commutative_binary64_21151`

Counts

4 → 63

Calls

4 calls:

6.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 a c) (.f64 i y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 a c) (.f64 i y)))
3.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 y i)))

Compiler

Compiled 3648 to 389 computations (89.3% saved)

series1.2s (6.5%)

Error

3.0b

Counts

4 → 81

Calls

4 calls:

299.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
285.0ms	(cbrt.f64 (-.f64 (.f64 a c) (.f64 i y)))
282.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 y i)))
265.0ms	(cbrt.f64 (-.f64 (.f64 a c) (.f64 i y)))

Compiler

Compiled 12582 to 6543 computations (48% saved)

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4981	2821
1	4981	2821

prune184.0ms (1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	141	3	144
Fresh	1	16	17
Picked	0	1	1
Done	0	0	0
Total	142	20	162

Error

3.0b

Counts

162 → 20

Compiler

Compiled 7770 to 999 computations (87.1% saved)

regimes3.6s (18.4%)

Accuracy

Total 7.3b remaining (73.6%)

Threshold costs 0b (0%)

Compiler

Compiled 46586 to 29918 computations (35.8% saved)

bsearch121.0ms (0.6%)

Steps

Iters	Range		Point
7	2.7052247612459882e-129	4.125610548043706e-127	9.563997698890728e-129
8	-4.7876992120743515e+67	-5.848176149281605e+63	-1.410950971335632e+64

Compiler

Compiled 1 to 9 computations (-800% saved)

simplify37.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	930	141
1	930	141

end0.0ms (0%)

sample5.1s (26.2%)

Algorithm

1×

intervals

Results

852.0ms	10915×	body	128	invalid
634.0ms	8000×	body	128	valid

Compiler

Compiled 4891 to 3099 computations (36.6% saved)

Details

analyze2.1s (11.1%)

sample95.0ms (0.5%)

simplify619.0ms (3.2%)

prune3.0ms (0%)

localize20.0ms (0.1%)

rewrite155.0ms (0.8%)

series1.1s (5.5%)

simplify82.0ms (0.4%)

prune206.0ms (1.1%)

localize24.0ms (0.1%)

rewrite147.0ms (0.8%)

series1.6s (8.4%)

simplify59.0ms (0.3%)

prune210.0ms (1.1%)

localize29.0ms (0.2%)

rewrite101.0ms (0.5%)

series2.0s (10.5%)

simplify64.0ms (0.3%)

prune238.0ms (1.2%)

localize30.0ms (0.2%)

rewrite109.0ms (0.6%)

series1.2s (6.5%)

simplify74.0ms (0.4%)

prune184.0ms (1%)

regimes3.6s (18.4%)

bsearch121.0ms (0.6%)

simplify37.0ms (0.2%)

end0.0ms (0%)

sample5.1s (26.2%)

Profiling