Details

analyze442.0ms (7.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	361	40
1	361	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14

Symmetry

(sort y z)

Compiler

Compiled 8 to 8 computations (0% saved)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	19×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify19.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	241	10
1	241	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

2.3b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

2.2b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

2.3b

Rules

5×	`add-sqr-sqrt_binary64_8966`
3×	`pow1_binary64_9005` `add-exp-log_binary64_8982` `add-cbrt-cube_binary64_8980` `add-cube-cbrt_binary64_8979` `-un-lft-identity_binary64_8944` `associate-l_binary64_8885` `associate-r*_binary64_8884`
2×	`sub-neg_binary64_8937` `distribute-rgt-in_binary64_8894` `cancel-sign-sub-inv_binary64_8910` `distribute-lft-in_binary64_8893` `associate-*r/_binary64_8886`
1×	`pow-prod-down_binary64_9015` `prod-exp_binary64_8993` `add-log-exp_binary64_8983` `cbrt-unprod_binary64_8977` `unswap-sqr_binary64_8912` `flip3--_binary64_8948` `flip--_binary64_8919` `*-commutative_binary64_8875`

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 x (-.f64 1 (*.f64 y z)))

Compiler

Compiled 340 to 178 computations (47.6% saved)

series127.0ms (2.2%)

Error

2.3b

Counts

1 → 15

Calls

1 calls:

120.0ms

(*.f64 x (-.f64 1 (*.f64 y z)))

Compiler

Compiled 249 to 171 computations (31.3% saved)

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4868	429
1	4868	429

prune35.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	31	8	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	9	40

Error

2.2b

Counts

40 → 9

Compiler

Compiled 498 to 261 computations (47.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.1b	(.f64 (-.f64 1 (.f64 z y)) (cbrt.f64 x))
1.5b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 1 (.f64 z y)) (cbrt.f64 x)))

rewrite88.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

2.2b

Rules

18×	`pow1_binary64_9005` `add-exp-log_binary64_8982`
13×	`add-sqr-sqrt_binary64_8966`
11×	`add-cbrt-cube_binary64_8980`
10×	`cbrt-prod_binary64_8975`
9×	`pow-prod-down_binary64_9015` `prod-exp_binary64_8993` `add-cube-cbrt_binary64_8979` `cbrt-unprod_binary64_8977` `*-un-lft-identity_binary64_8944`
7×	`associate-r_binary64_8884`
4×	`add-log-exp_binary64_8983` `associate-l/_binary64_8887` `associate-l*_binary64_8885`
2×	`flip3--_binary64_8948` `associate-r/_binary64_8886` `flip--_binary64_8919` `-commutative_binary64_8875` `unswap-sqr_binary64_8912` `pow1/3_binary64_9026`

Counts

4 → 70

Calls

4 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 1 (.f64 z y)) (cbrt.f64 x)))
7.0ms	(.f64 (-.f64 1 (.f64 z y)) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1494 to 541 computations (63.8% saved)

series621.0ms (10.6%)

Error

2.2b

Counts

4 → 36

Calls

4 calls:

322.0ms	(.f64 (-.f64 1 (.f64 z y)) (cbrt.f64 x))
130.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 1 (.f64 z y)) (cbrt.f64 x)))
74.0ms	(cbrt.f64 x)
72.0ms	(cbrt.f64 x)

Compiler

Compiled 1182 to 804 computations (32% saved)

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5295	1121

prune83.0ms (1.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	101	5	106
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	102	13	115

Error

2.2b

Counts

115 → 13

Compiler

Compiled 1736 to 715 computations (58.8% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.5b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 z y))) (cbrt.f64 (-.f64 1 (.f64 z y)))) (.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (.f64 z y))))))
2.3b	(cbrt.f64 (-.f64 1 (*.f64 z y)))
2.3b	(cbrt.f64 (-.f64 1 (*.f64 z y)))
2.3b	(cbrt.f64 (-.f64 1 (*.f64 z y)))

rewrite244.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

2.2b

Rules

60×	`cbrt-div_binary64_8976`
52×	`associate-*r/_binary64_8886`
45×	`pow1_binary64_9005` `add-exp-log_binary64_8982`
36×	`pow-prod-down_binary64_9015`
31×	`prod-exp_binary64_8993` `cbrt-unprod_binary64_8977`
30×	`flip3--_binary64_8948` `flip--_binary64_8919`
28×	`frac-times_binary64_8954`
19×	`add-cbrt-cube_binary64_8980`
14×	`associate-*l/_binary64_8887`
9×	`pow1/3_binary64_9026` `cbrt-prod_binary64_8975`
7×	`add-cube-cbrt_binary64_8979` `add-sqr-sqrt_binary64_8966` `*-un-lft-identity_binary64_8944`
4×	`add-log-exp_binary64_8983`
1×	`associate-l_binary64_8885` `associate-r_binary64_8884` `*-commutative_binary64_8875`

Counts

4 → 106

Calls

4 calls:

28.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 z y))) (cbrt.f64 (-.f64 1 (.f64 z y)))) (.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (.f64 z y))))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))

Compiler

Compiled 4951 to 2413 computations (51.3% saved)

series550.0ms (9.4%)

Error

2.2b

Counts

4 → 57

Calls

4 calls:

145.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 z y))) (cbrt.f64 (-.f64 1 (.f64 z y)))) (.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (.f64 z y))))))
115.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
111.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))
109.0ms	(cbrt.f64 (-.f64 1 (*.f64 z y)))

Compiler

Compiled 4155 to 2676 computations (35.6% saved)

simplify81.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5144	3143

prune226.0ms (3.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	2	8	10
Picked	0	1	1
Done	1	1	2
Total	164	12	176

Error

2.2b

Counts

176 → 12

Compiler

Compiled 5063 to 2455 computations (51.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 x) (.f64 (-.f64 1 (.f64 z y)) (cbrt.f64 x))))
1.1b	(.f64 (-.f64 1 (.f64 z y)) (cbrt.f64 x))
1.3b	(.f64 (cbrt.f64 x) (.f64 (-.f64 1 (*.f64 z y)) (cbrt.f64 x)))

rewrite115.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

2.2b

Rules

20×	`pow1_binary64_9005` `add-exp-log_binary64_8982`
16×	`add-sqr-sqrt_binary64_8966`
15×	`associate-l_binary64_8885`
13×	`cbrt-prod_binary64_8975`
12×	`add-cube-cbrt_binary64_8979` `*-un-lft-identity_binary64_8944`
10×	`pow-prod-down_binary64_9015` `prod-exp_binary64_8993` `add-cbrt-cube_binary64_8980` `cbrt-unprod_binary64_8977`
8×	`associate-r_binary64_8884`
6×	`associate-l/_binary64_8887` `associate-r/_binary64_8886`
4×	`add-log-exp_binary64_8983`
3×	`flip3--_binary64_8948` `flip--_binary64_8919` `*-commutative_binary64_8875`
2×	`unswap-sqr_binary64_8912`
1×	`pow1/3_binary64_9026`

Counts

4 → 84

Calls

4 calls:

14.0ms	(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 x) (.f64 (-.f64 1 (.f64 z y)) (cbrt.f64 x))))
9.0ms	(.f64 (cbrt.f64 x) (.f64 (-.f64 1 (*.f64 z y)) (cbrt.f64 x)))
9.0ms	(.f64 (-.f64 1 (.f64 z y)) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1819 to 748 computations (58.9% saved)

series936.0ms (16%)

Error

2.2b

Counts

4 → 48

Calls

4 calls:

394.0ms	(.f64 (cbrt.f64 x) (.f64 (-.f64 1 (*.f64 z y)) (cbrt.f64 x)))
316.0ms	(.f64 (-.f64 1 (.f64 z y)) (cbrt.f64 x))
121.0ms	(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 x) (.f64 (-.f64 1 (.f64 z y)) (cbrt.f64 x))))
72.0ms	(cbrt.f64 x)

Compiler

Compiled 1641 to 1200 computations (26.9% saved)

simplify82.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4953	1624
1	4953	1624

prune95.0ms (1.6%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	131	13	144

Error

2.2b

Counts

144 → 13

Compiler

Compiled 1951 to 842 computations (56.8% saved)

regimes548.0ms (9.3%)

Accuracy

Total 0.2b remaining (4.9%)

Threshold costs 0.2b (4.9%)

Compiler

Compiled 6084 to 4330 computations (28.8% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

Remove

(sort y z)

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample1.4s (23.2%)

Algorithm

1×

intervals

Results

198.0ms	8000×	body	128	valid
18.0ms	571×	body	128	invalid

Compiler

Compiled 1023 to 731 computations (28.5% saved)

Details

analyze442.0ms (7.5%)

sample25.0ms (0.4%)

simplify19.0ms (0.3%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite30.0ms (0.5%)

series127.0ms (2.2%)

simplify63.0ms (1.1%)

prune35.0ms (0.6%)

localize9.0ms (0.1%)

rewrite88.0ms (1.5%)

series621.0ms (10.6%)

simplify48.0ms (0.8%)

prune83.0ms (1.4%)

localize15.0ms (0.3%)

rewrite244.0ms (4.2%)

series550.0ms (9.4%)

simplify81.0ms (1.4%)

prune226.0ms (3.8%)

localize8.0ms (0.1%)

rewrite115.0ms (2%)

series936.0ms (16%)

simplify82.0ms (1.4%)

prune95.0ms (1.6%)

regimes548.0ms (9.3%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample1.4s (23.2%)

Profiling