Details

analyze807.0ms (13.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5196	91
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
12.5%	85.6%	1.9%	11
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	82×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify130.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	1582	13
1	1582	13

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

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t x))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_21583`
9×	`*-un-lft-identity_binary64_21561`
6×	`cancel-sign-sub-inv_binary64_21527` `flip3--_binary64_21565` `flip--_binary64_21536`
5×	`associate-r_binary64_21501` `add-cube-cbrt_binary64_21596` `associate-l_binary64_21502`
4×	`distribute-lft-in_binary64_21510` `distribute-rgt-in_binary64_21511` `frac-times_binary64_21571`
3×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `pow1_binary64_21622`
2×	`associate-l/_binary64_21504` `associate-r/_binary64_21503` `difference-of-squares_binary64_21530` `sub-neg_binary64_21554` `distribute-lft-out--_binary64_21513`
1×	`cbrt-unprod_binary64_21594` `prod-exp_binary64_21610` `*-commutative_binary64_21492` `add-log-exp_binary64_21600` `pow-prod-down_binary64_21632` `unswap-sqr_binary64_21529`

Counts

1 → 38

Calls

1 calls:

10.0ms

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

series38.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4910	641
1	4910	641

prune37.0ms (0.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	4	42

Error

0.0b

Counts

42 → 4

Compiler

Compiled 726 to 217 computations (70.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y z) t)
0.0b	(+.f64 (.f64 (-.f64 y z) t) (.f64 x (-.f64 z y)))
0.0b	(*.f64 x (-.f64 z y))

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_21583`
15×	`*-un-lft-identity_binary64_21561`
12×	`cancel-sign-sub-inv_binary64_21527`
11×	`add-cube-cbrt_binary64_21596`
8×	`distribute-lft-in_binary64_21510` `associate-+r+_binary64_21493` `distribute-rgt-in_binary64_21511` `associate-r_binary64_21501` `associate-l_binary64_21502`
7×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `pow1_binary64_21622`
6×	`flip3--_binary64_21565` `associate-l/_binary64_21504` `associate-r/_binary64_21503` `flip--_binary64_21536`
5×	`add-log-exp_binary64_21600`
4×	`frac-add_binary64_21569` `sub-neg_binary64_21554`
2×	`cbrt-unprod_binary64_21594` `prod-exp_binary64_21610` `difference-of-squares_binary64_21530` `*-commutative_binary64_21492` `distribute-lft-out--_binary64_21513` `pow-prod-down_binary64_21632` `unswap-sqr_binary64_21529`
1×	`+-commutative_binary64_21491` `sum-log_binary64_21652` `flip-+_binary64_21535` `flip3-+_binary64_21564`

Counts

3 → 75

Calls

3 calls:

9.0ms	(+.f64 (.f64 (-.f64 y z) t) (.f64 x (-.f64 z y)))
7.0ms	(*.f64 x (-.f64 z y))
7.0ms	(*.f64 (-.f64 y z) t)

series113.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

48.0ms	(+.f64 (.f64 (-.f64 y z) t) (.f64 x (-.f64 z y)))
34.0ms	(*.f64 x (-.f64 z y))
31.0ms	(*.f64 (-.f64 y z) t)

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5153	1198

prune66.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	84	4	88

Error

0.0b

Counts

88 → 4

Compiler

Compiled 1675 to 387 computations (76.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (-.f64 y z) (-.f64 t x))) (cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x))))
1.5b	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
1.5b	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
1.5b	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))

rewrite68.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

168×	`cbrt-div_binary64_21593`
148×	`frac-times_binary64_21571`
126×	`flip3--_binary64_21565` `flip--_binary64_21536`
50×	`associate-l/_binary64_21504` `associate-r/_binary64_21503`
11×	`pow1_binary64_21622`
10×	`add-sqr-sqrt_binary64_21583`
9×	`pow1/3_binary64_21643`
8×	`*-un-lft-identity_binary64_21561` `add-cube-cbrt_binary64_21596`
7×	`cbrt-prod_binary64_21592`
6×	`add-exp-log_binary64_21599`
4×	`associate-r_binary64_21501` `swap-sqr_binary64_21528` `associate-l_binary64_21502` `add-log-exp_binary64_21600` `add-cbrt-cube_binary64_21597`
2×	`pow-sqr_binary64_21534` `pow-prod-up_binary64_21631` `pow-prod-down_binary64_21632`
1×	`cbrt-unprod_binary64_21594` `prod-exp_binary64_21610` `*-commutative_binary64_21492` `pow-plus_binary64_21624` `unswap-sqr_binary64_21529` `pow2_binary64_21642`

Counts

4 → 162

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 y z) (-.f64 t x))) (cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x))))
8.0ms	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
7.0ms	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
7.0ms	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))

series2.6s (41.7%)

Counts

4 → 12

Calls

4 calls:

1.3s	(.f64 (cbrt.f64 (.f64 (-.f64 y z) (-.f64 t x))) (cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x))))
438.0ms	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
427.0ms	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))
423.0ms	(cbrt.f64 (*.f64 (-.f64 y z) (-.f64 t x)))

simplify109.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4998	7505
1	4998	7505

prune219.0ms (3.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	174	4	178

Error

0.0b

Counts

178 → 4

Compiler

Compiled 8028 to 1709 computations (78.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t x))
0.3b	(pow.f64 (*.f64 (-.f64 y z) (-.f64 t x)) 3)
36.3b	(cbrt.f64 (pow.f64 (*.f64 (-.f64 y z) (-.f64 t x)) 3))

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`flip3--_binary64_21565` `flip--_binary64_21536`
16×	`cube-div_binary64_21590`
15×	`add-sqr-sqrt_binary64_21583`
13×	`*-un-lft-identity_binary64_21561`
12×	`frac-times_binary64_21571`
9×	`add-cube-cbrt_binary64_21596`
8×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `cbrt-prod_binary64_21592` `pow1_binary64_21622` `cbrt-div_binary64_21593`
6×	`cancel-sign-sub-inv_binary64_21527` `associate-l/_binary64_21504` `associate-r/_binary64_21503`
5×	`associate-r_binary64_21501` `associate-l_binary64_21502`
4×	`distribute-lft-in_binary64_21510` `distribute-rgt-in_binary64_21511`
3×	`add-log-exp_binary64_21600` `pow-unpow_binary64_21638`
2×	`cbrt-unprod_binary64_21594` `sqr-pow_binary64_21533` `cube-mult_binary64_21591` `prod-exp_binary64_21610` `pow-exp_binary64_21629` `difference-of-squares_binary64_21530` `unpow-prod-down_binary64_21640` `sub-neg_binary64_21554` `distribute-lft-out--_binary64_21513` `unpow3_binary64_21627` `cube-prod_binary64_21589` `pow-pow_binary64_21633` `pow-prod-down_binary64_21632` `rem-cube-cbrt_binary64_21584`
1×	`pow-to-exp_binary64_21630` `pow1/3_binary64_21643` `*-commutative_binary64_21492` `rem-cbrt-cube_binary64_21585` `unswap-sqr_binary64_21529`

Counts

3 → 93

Calls

3 calls:

11.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
9.0ms	(pow.f64 (*.f64 (-.f64 y z) (-.f64 t x)) 3)
4.0ms	(cbrt.f64 (pow.f64 (*.f64 (-.f64 y z) (-.f64 t x)) 3))

series562.0ms (9.2%)

Counts

3 → 9

Calls

3 calls:

491.0ms	(pow.f64 (*.f64 (-.f64 y z) (-.f64 t x)) 3)
36.0ms	(cbrt.f64 (pow.f64 (*.f64 (-.f64 y z) (-.f64 t x)) 3))
36.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

simplify65.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5041	1853

prune81.0ms (1.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	102	4	106

Error

0.0b

Counts

106 → 4

Compiler

Compiled 1942 to 663 computations (65.9% saved)

regimes169.0ms (2.7%)

Accuracy

Total 0.0b remaining (74%)

Threshold costs 0.0b (74%)

Compiler

Compiled 1504 to 1086 computations (27.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	19
1	33	19

end0.0ms (0%)

sample847.0ms (13.8%)

Algorithm

1×

intervals

Results

242.0ms	8000×	body	128	valid
68.0ms	2485×	body	128	invalid

Compiler

Compiled 266 to 192 computations (27.8% saved)

Details

analyze807.0ms (13.1%)

sample21.0ms (0.3%)

simplify130.0ms (2.1%)

prune2.0ms (0%)

localize11.0ms (0.2%)

rewrite13.0ms (0.2%)

series38.0ms (0.6%)

simplify58.0ms (1%)

prune37.0ms (0.6%)

localize9.0ms (0.1%)

rewrite29.0ms (0.5%)

series113.0ms (1.8%)

simplify72.0ms (1.2%)

prune66.0ms (1.1%)

localize10.0ms (0.2%)

rewrite68.0ms (1.1%)

series2.6s (41.7%)

simplify109.0ms (1.8%)

prune219.0ms (3.6%)

localize9.0ms (0.1%)

rewrite32.0ms (0.5%)

series562.0ms (9.2%)

simplify65.0ms (1.1%)

prune81.0ms (1.3%)

regimes169.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample847.0ms (13.8%)

Profiling