Details

analyze2.1s (11.5%)

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)

sample91.0ms (0.5%)

Algorithm

1×

intervals

Results

25.0ms	367×	body	128	invalid
18.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify599.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (594.0ms)

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

10.6b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 c t) (.f64 i y))
3.3b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
4.9b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.5b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

rewrite152.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

10.4b

Rules

16×	`add-sqr-sqrt_binary64_15786`
10×	`pow1_binary64_15825` `add-exp-log_binary64_15802` `add-cbrt-cube_binary64_15800` `add-cube-cbrt_binary64_15799` `*-un-lft-identity_binary64_15764`
9×	`associate-l_binary64_15705` `associate-r_binary64_15704`
7×	`sub-neg_binary64_15757` `cancel-sign-sub-inv_binary64_15730`
6×	`add-log-exp_binary64_15803` `distribute-rgt-in_binary64_15714` `distribute-lft-in_binary64_15713` `associate-*r/_binary64_15706`
4×	`flip3--_binary64_15768` `flip--_binary64_15739`
3×	`pow-prod-down_binary64_15835` `prod-exp_binary64_15813` `cbrt-unprod_binary64_15797` `unswap-sqr_binary64_15732` `*-commutative_binary64_15695`
1×	`diff-log_binary64_15856`

Counts

4 → 84

Calls

4 calls:

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

Compiler

Compiled 3151 to 425 computations (86.5% saved)

series1.1s (6%)

Error

2.2b

Counts

4 → 105

Calls

4 calls:

280.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
279.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
270.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
154.0ms	(-.f64 (.f64 c t) (.f64 i y))

Compiler

Compiled 7671 to 3914 computations (49% saved)

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4946	2443
1	4946	2443

prune440.0ms (2.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	171	18	189
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	172	18	190

Error

2.1b

Counts

190 → 18

Compiler

Compiled 6595 to 828 computations (87.4% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(.f64 (-.f64 (.f64 y z) (*.f64 t a)) (cbrt.f64 x))
2.4b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 y z) (*.f64 t a)) (cbrt.f64 x)))
4.9b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.5b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

rewrite158.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

2.1b

Rules

22×	`pow1_binary64_15825` `add-exp-log_binary64_15802`
19×	`add-sqr-sqrt_binary64_15786`
15×	`add-cbrt-cube_binary64_15800`
13×	`associate-r_binary64_15704`
11×	`pow-prod-down_binary64_15835` `prod-exp_binary64_15813` `add-cube-cbrt_binary64_15799` `cbrt-unprod_binary64_15797` `*-un-lft-identity_binary64_15764`
10×	`associate-l_binary64_15705`
6×	`associate-*r/_binary64_15706`
4×	`add-log-exp_binary64_15803` `unswap-sqr_binary64_15732` `sub-neg_binary64_15757` `distribute-rgt-in_binary64_15714` `cancel-sign-sub-inv_binary64_15730` `distribute-lft-in_binary64_15713` `flip3--_binary64_15768` `flip--_binary64_15739` `-commutative_binary64_15695` `associate-l/_binary64_15707` `cbrt-prod_binary64_15795`

Counts

4 → 96

Calls

4 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 y z) (*.f64 t a)) (cbrt.f64 x)))
8.0ms	(.f64 (-.f64 (.f64 y z) (*.f64 t a)) (cbrt.f64 x))
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

Compiler

Compiled 4356 to 511 computations (88.3% saved)

series1.7s (9.6%)

Error

2.1b

Counts

4 → 108

Calls

4 calls:

647.0ms	(.f64 (-.f64 (.f64 y z) (*.f64 t a)) (cbrt.f64 x))
370.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 y z) (*.f64 t a)) (cbrt.f64 x)))
301.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
291.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

Compiler

Compiled 9630 to 4823 computations (49.9% saved)

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5142	2853

prune209.0ms (1.2%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	0	17	17
Picked	0	1	1
Done	0	0	0
Total	203	19	222

Error

2.1b

Counts

222 → 19

Compiler

Compiled 8202 to 938 computations (88.6% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.5b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
7.6b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
7.6b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
7.6b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))

rewrite99.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

2.1b

Rules

11×	`add-sqr-sqrt_binary64_15786`
9×	`add-cube-cbrt_binary64_15799` `cbrt-prod_binary64_15795` `*-un-lft-identity_binary64_15764`
6×	`pow1_binary64_15825` `add-exp-log_binary64_15802` `add-cbrt-cube_binary64_15800` `cbrt-div_binary64_15796`
4×	`add-log-exp_binary64_15803` `flip3--_binary64_15768` `flip--_binary64_15739`
3×	`pow1/3_binary64_15846` `associate-l_binary64_15705` `associate-r_binary64_15704`
2×	`sub-neg_binary64_15757` `distribute-rgt-in_binary64_15714` `cancel-sign-sub-inv_binary64_15730` `distribute-lft-in_binary64_15713` `associate-*r/_binary64_15706`
1×	`pow-prod-down_binary64_15835` `prod-exp_binary64_15813` `cbrt-unprod_binary64_15797` `unswap-sqr_binary64_15732` `*-commutative_binary64_15695`

Counts

4 → 63

Calls

4 calls:

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

Compiler

Compiled 3648 to 372 computations (89.8% saved)

series1.2s (6.8%)

Error

2.1b

Counts

4 → 81

Calls

4 calls:

293.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
277.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
269.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
262.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))

Compiler

Compiled 12429 to 6167 computations (50.4% saved)

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4996	2749
1	4996	2749

prune206.0ms (1.1%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	17	17
Picked	0	1	1
Done	0	1	1
Total	144	19	163

Error

2.1b

Counts

163 → 19

Compiler

Compiled 8393 to 1421 computations (83.1% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.5b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
7.0b	(cbrt.f64 (.f64 (-.f64 (.f64 c z) (*.f64 i a)) b))
7.0b	(cbrt.f64 (.f64 (-.f64 (.f64 c z) (*.f64 i a)) b))
7.0b	(cbrt.f64 (.f64 (-.f64 (.f64 c z) (*.f64 i a)) b))

rewrite106.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

2.1b

Rules

8×	`add-sqr-sqrt_binary64_15786`
6×	`pow1_binary64_15825` `add-exp-log_binary64_15802` `add-cbrt-cube_binary64_15800` `add-cube-cbrt_binary64_15799` `associate-l/_binary64_15707` `cbrt-div_binary64_15796` `-un-lft-identity_binary64_15764`
4×	`add-log-exp_binary64_15803` `flip3--_binary64_15768` `flip--_binary64_15739`
3×	`pow1/3_binary64_15846` `cbrt-prod_binary64_15795` `associate-l_binary64_15705` `associate-r_binary64_15704`
2×	`sub-neg_binary64_15757` `distribute-rgt-in_binary64_15714` `cancel-sign-sub-inv_binary64_15730` `distribute-lft-in_binary64_15713` `associate-*r/_binary64_15706`
1×	`pow-prod-down_binary64_15835` `prod-exp_binary64_15813` `cbrt-unprod_binary64_15797` `unswap-sqr_binary64_15732` `*-commutative_binary64_15695`

Counts

4 → 57

Calls

4 calls:

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

Compiler

Compiled 3519 to 316 computations (91% saved)

series2.0s (11.4%)

Error

2.1b

Counts

4 → 102

Calls

4 calls:

541.0ms	(cbrt.f64 (.f64 (-.f64 (.f64 c z) (*.f64 i a)) b))
529.0ms	(cbrt.f64 (.f64 (-.f64 (.f64 c z) (*.f64 i a)) b))
525.0ms	(cbrt.f64 (.f64 (-.f64 (.f64 c z) (*.f64 i a)) b))
303.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

Compiler

Compiled 17337 to 8302 computations (52.1% saved)

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5021	3598

prune209.0ms (1.2%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	16	16
Picked	0	1	1
Done	0	2	2
Total	159	19	178

Error

2.1b

Counts

178 → 19

Compiler

Compiled 9315 to 1169 computations (87.5% saved)

regimes2.6s (14.7%)

Accuracy

Total 6.3b remaining (69.9%)

Threshold costs 0b (0%)

Compiler

Compiled 31626 to 21538 computations (31.9% saved)

bsearch118.0ms (0.7%)

Steps

Iters	Range		Point
7	6.49769433825317e-80	1.2553064710824422e-78	1.1719789020646356e-79
7	-4.3298035044923335e+73	-2.697856601162267e+72	-7.601809667322603e+72

Compiler

Compiled 1 to 9 computations (-800% saved)

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	1034	150
1	1034	150

end0.0ms (0%)

sample4.4s (24.3%)

Algorithm

1×

intervals

Results

827.0ms	11043×	body	128	invalid
604.0ms	8000×	body	128	valid

Compiler

Compiled 3471 to 2275 computations (34.5% saved)

Details

analyze2.1s (11.5%)

sample91.0ms (0.5%)

simplify599.0ms (3.3%)

prune3.0ms (0%)

localize25.0ms (0.1%)

rewrite152.0ms (0.8%)

series1.1s (6%)

simplify83.0ms (0.5%)

prune440.0ms (2.5%)

localize25.0ms (0.1%)

rewrite158.0ms (0.9%)

series1.7s (9.6%)

simplify59.0ms (0.3%)

prune209.0ms (1.2%)

localize25.0ms (0.1%)

rewrite99.0ms (0.6%)

series1.2s (6.8%)

simplify74.0ms (0.4%)

prune206.0ms (1.1%)

localize27.0ms (0.2%)

rewrite106.0ms (0.6%)

series2.0s (11.4%)

simplify80.0ms (0.4%)

prune209.0ms (1.2%)

regimes2.6s (14.7%)

bsearch118.0ms (0.7%)

simplify39.0ms (0.2%)

end0.0ms (0%)

sample4.4s (24.3%)

Profiling