Details

analyze1.7s (15.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample66.0ms (0.6%)

Algorithm

1×

intervals

Results

29.0ms	256×	body	128	valid
5.0ms	38×	body	128	invalid
3.0ms	33×	body	128	nan

Compiler

Compiled 33 to 37 computations (-12.1% saved)

simplify918.0ms (8.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (636.0ms)

Iter	Nodes	Cost
0	4909	24
1	4909	24

prune5.0ms (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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
0.0b	(*.f64 (-.f64 a 1/2) b)
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
0.3b	(*.f64 z (log.f64 t))

rewrite87.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-log-exp_binary64_12245`
18×	`add-sqr-sqrt_binary64_12230`
14×	`*-un-lft-identity_binary64_12209`
12×	`log-prod_binary64_12292` `add-cube-cbrt_binary64_12241`
10×	`sum-log_binary64_12297`
9×	`pow1_binary64_12267`
8×	`add-cbrt-cube_binary64_12242` `add-exp-log_binary64_12244` `associate-l_binary64_12152`
7×	`associate-r_binary64_12151`
6×	`associate--r+_binary64_12147` `associate-*l/_binary64_12154` `distribute-rgt-in_binary64_12161` `diff-log_binary64_12298` `flip--_binary64_12184` `flip3--_binary64_12213` `distribute-lft-in_binary64_12160`
4×	`frac-add_binary64_12217`
2×	`unswap-sqr_binary64_12177` `cbrt-unprod_binary64_12239` `associate--l+_binary64_12148` `*-commutative_binary64_12142` `prod-exp_binary64_12255` `associate-+l+_binary64_12144` `sub-neg_binary64_12202` `pow-prod-down_binary64_12277`
1×	`flip3-+_binary64_12212` `log-pow_binary64_12295` `associate-+l-_binary64_12146` `flip-+_binary64_12183` `distribute-lft-out--_binary64_12163` `difference-of-squares_binary64_12178` `+-commutative_binary64_12141`

Counts

4 → 88

Calls

4 calls:

26.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
20.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
14.0ms	(*.f64 (-.f64 a 1/2) b)
8.0ms	(*.f64 z (log.f64 t))

series788.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

484.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
132.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
91.0ms	(*.f64 z (log.f64 t))
80.0ms	(*.f64 (-.f64 a 1/2) b)

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5144	1964

prune215.0ms (2.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	93	7	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	7	101

Merged error: 0.0b

Counts

101 → 7

Compiler

Compiled 2526 to 923 computations (63.5% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 x y) (-.f64 z (.f64 z (log.f64 t)))) (.f64 (-.f64 a 1/2) b))
0.0b	(*.f64 (-.f64 a 1/2) b)
0.2b	(-.f64 z (*.f64 z (log.f64 t)))
0.3b	(*.f64 z (log.f64 t))

rewrite79.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-log-exp_binary64_12245`
20×	`frac-add_binary64_12217`
18×	`add-sqr-sqrt_binary64_12230`
14×	`associate-l/_binary64_12154` `-un-lft-identity_binary64_12209`
12×	`flip--_binary64_12184` `flip3--_binary64_12213` `log-prod_binary64_12292` `add-cube-cbrt_binary64_12241`
11×	`sum-log_binary64_12297`
9×	`pow1_binary64_12267`
8×	`add-cbrt-cube_binary64_12242` `add-exp-log_binary64_12244` `associate-l_binary64_12152`
7×	`flip3-+_binary64_12212` `flip-+_binary64_12183` `associate-r_binary64_12151`
6×	`associate--r+_binary64_12147` `distribute-rgt-in_binary64_12161` `distribute-lft-in_binary64_12160`
3×	`diff-log_binary64_12298`
2×	`unswap-sqr_binary64_12177` `cbrt-unprod_binary64_12239` `*-commutative_binary64_12142` `prod-exp_binary64_12255` `pow-prod-down_binary64_12277`
1×	`log-pow_binary64_12295` `associate-+l-_binary64_12146` `associate-+l+_binary64_12144` `sub-neg_binary64_12202` `distribute-lft-out--_binary64_12163` `difference-of-squares_binary64_12178` `associate-+r-_binary64_12145` `+-commutative_binary64_12141`

Counts

4 → 93

Calls

4 calls:

29.0ms	(+.f64 (+.f64 (+.f64 x y) (-.f64 z (.f64 z (log.f64 t)))) (.f64 (-.f64 a 1/2) b))
12.0ms	(*.f64 (-.f64 a 1/2) b)
8.0ms	(*.f64 z (log.f64 t))
7.0ms	(-.f64 z (*.f64 z (log.f64 t)))

series831.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

525.0ms	(+.f64 (+.f64 (+.f64 x y) (-.f64 z (.f64 z (log.f64 t)))) (.f64 (-.f64 a 1/2) b))
116.0ms	(-.f64 z (*.f64 z (log.f64 t)))
106.0ms	(*.f64 z (log.f64 t))
83.0ms	(*.f64 (-.f64 a 1/2) b)

simplify131.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4940	2820
1	4940	2820

prune227.0ms (2.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	106	6	112

Merged error: 0.0b

Counts

112 → 6

Compiler

Compiled 3112 to 1142 computations (63.3% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 0 (log.f64 t)) -1)
0.0b	(+.f64 (+.f64 (+.f64 x y) (.f64 (+.f64 (+.f64 0 (log.f64 t)) -1) (neg.f64 z))) (.f64 (-.f64 a 1/2) b))
0.0b	(*.f64 (-.f64 a 1/2) b)
0.2b	(*.f64 (+.f64 (+.f64 0 (log.f64 t)) -1) (neg.f64 z))

rewrite116.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64_12209`
24×	`associate-*l/_binary64_12154`
20×	`frac-add_binary64_12217`
18×	`add-sqr-sqrt_binary64_12230`
17×	`add-log-exp_binary64_12245`
13×	`flip3-+_binary64_12212` `flip-+_binary64_12183` `associate-r_binary64_12151`
12×	`associate-l_binary64_12152`
10×	`distribute-lft-out_binary64_12162` `pow1_binary64_12267` `add-cube-cbrt_binary64_12241`
9×	`sum-log_binary64_12297`
8×	`add-cbrt-cube_binary64_12242` `add-exp-log_binary64_12244`
7×	`flip--_binary64_12184` `flip3--_binary64_12213`
3×	`distribute-rgt-neg-in_binary64_12169` `distribute-lft-neg-in_binary64_12168`
2×	`distribute-rgt-neg-out_binary64_12171` `unswap-sqr_binary64_12177` `log-pow_binary64_12295` `cbrt-unprod_binary64_12239` `*-commutative_binary64_12142` `difference-of-sqr--1_binary64_12180` `prod-exp_binary64_12255` `associate-+l+_binary64_12144` `pow-prod-down_binary64_12277` `+-commutative_binary64_12141`
1×	`associate-+l-_binary64_12146` `neg-mul-1_binary64_12205` `distribute-lft-out--_binary64_12163` `difference-of-squares_binary64_12178` `unsub-neg_binary64_12203`

Counts

4 → 98

Calls

4 calls:

30.0ms	(+.f64 (+.f64 (+.f64 x y) (.f64 (+.f64 (+.f64 0 (log.f64 t)) -1) (neg.f64 z))) (.f64 (-.f64 a 1/2) b))
25.0ms	(*.f64 (+.f64 (+.f64 0 (log.f64 t)) -1) (neg.f64 z))
15.0ms	(+.f64 (+.f64 0 (log.f64 t)) -1)
14.0ms	(*.f64 (-.f64 a 1/2) b)

series924.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

541.0ms	(+.f64 (+.f64 (+.f64 x y) (.f64 (+.f64 (+.f64 0 (log.f64 t)) -1) (neg.f64 z))) (.f64 (-.f64 a 1/2) b))
171.0ms	(*.f64 (+.f64 (+.f64 0 (log.f64 t)) -1) (neg.f64 z))
138.0ms	(+.f64 (+.f64 0 (log.f64 t)) -1)
73.0ms	(*.f64 (-.f64 a 1/2) b)

simplify108.0ms (1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4925	2840
1	4925	2840

prune261.0ms (2.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	111	5	116

Merged error: 0.0b

Counts

116 → 5

Compiler

Compiled 3280 to 1619 computations (50.6% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 x y) (.f64 (log.f64 (/.f64 t E.f64)) (neg.f64 z))) (.f64 (-.f64 a 1/2) b))
0.0b	(*.f64 (-.f64 a 1/2) b)
0.2b	(*.f64 (log.f64 (/.f64 t E.f64)) (neg.f64 z))
0.3b	(/.f64 t E.f64)

rewrite73.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_12230`
20×	`*-un-lft-identity_binary64_12209`
18×	`add-cube-cbrt_binary64_12241`
13×	`add-log-exp_binary64_12245` `associate-r_binary64_12151`
11×	`add-exp-log_binary64_12244`
10×	`add-cbrt-cube_binary64_12242`
9×	`pow1_binary64_12267` `associate-l_binary64_12152` `times-frac_binary64_12215`
6×	`associate-*l/_binary64_12154` `sum-log_binary64_12297`
4×	`frac-add_binary64_12217`
3×	`associate-/r_binary64_12155` `flip3-+_binary64_12212` `flip--_binary64_12184` `flip-+_binary64_12183` `flip3--_binary64_12213` `associate-/l_binary64_12156` `distribute-rgt-neg-in_binary64_12169` `distribute-lft-neg-in_binary64_12168`
2×	`distribute-rgt-neg-out_binary64_12171` `unswap-sqr_binary64_12177` `cbrt-unprod_binary64_12239` `*-commutative_binary64_12142` `div-exp_binary64_12257` `prod-exp_binary64_12255` `pow-prod-down_binary64_12277`
1×	`clear-num_binary64_12208` `log-pow_binary64_12295` `cbrt-undiv_binary64_12240` `associate-+l-_binary64_12146` `div-inv_binary64_12206` `associate-+l+_binary64_12144` `neg-mul-1_binary64_12205` `e-exp-1_binary64_12251` `distribute-lft-out--_binary64_12163` `difference-of-squares_binary64_12178` `frac-2neg_binary64_12220` `unsub-neg_binary64_12203` `+-commutative_binary64_12141`

Counts

4 → 96

Calls

4 calls:

22.0ms	(+.f64 (+.f64 (+.f64 x y) (.f64 (log.f64 (/.f64 t E.f64)) (neg.f64 z))) (.f64 (-.f64 a 1/2) b))
13.0ms	(*.f64 (-.f64 a 1/2) b)
12.0ms	(*.f64 (log.f64 (/.f64 t E.f64)) (neg.f64 z))
7.0ms	(/.f64 t E.f64)

series991.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

587.0ms	(+.f64 (+.f64 (+.f64 x y) (.f64 (log.f64 (/.f64 t E.f64)) (neg.f64 z))) (.f64 (-.f64 a 1/2) b))
246.0ms	(*.f64 (log.f64 (/.f64 t E.f64)) (neg.f64 z))
85.0ms	(*.f64 (-.f64 a 1/2) b)
72.0ms	(/.f64 t E.f64)

simplify92.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5175	1848

prune206.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	108	5	113

Merged error: 0.0b

Counts

113 → 5

Compiler

Compiled 2520 to 1084 computations (57% saved)

regimes368.0ms (3.5%)

Compiler: Compiled 1388 to 1225 computations (11.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	58	25
1	58	25

end0.0ms (0%)

sample2.1s (20.5%)

Algorithm

1×

intervals

Results

932.0ms	7997×	body	128	valid
128.0ms	1141×	body	128	invalid
117.0ms	1153×	body	128	nan
1.0ms	1×	body	2048	valid
1.0ms	2×	body	512	valid

Compiler

Compiled 170 to 150 computations (11.8% saved)

Details

analyze1.7s (15.8%)

sample66.0ms (0.6%)

simplify918.0ms (8.7%)

prune5.0ms (0%)

localize31.0ms (0.3%)

rewrite87.0ms (0.8%)

series788.0ms (7.5%)

simplify80.0ms (0.8%)

prune215.0ms (2.1%)

localize25.0ms (0.2%)

rewrite79.0ms (0.8%)

series831.0ms (7.9%)

simplify131.0ms (1.2%)

prune227.0ms (2.2%)

localize32.0ms (0.3%)

rewrite116.0ms (1.1%)

series924.0ms (8.8%)

simplify108.0ms (1%)

prune261.0ms (2.5%)

localize30.0ms (0.3%)

rewrite73.0ms (0.7%)

series991.0ms (9.4%)

simplify92.0ms (0.9%)

prune206.0ms (2%)

regimes368.0ms (3.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.1s (20.5%)

Profiling