Details

Time bar (total: 11.1s)

sample1.8s

Algorithm
intervals
sampling

Space saved by range analysis: 1.937368%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
12.0ms246×body80valid
1.0ms4×body640valid
1.0ms15×body80invalid
0.0ms3×body320valid
0.0ms1×body1280valid
0.0ms2×body160valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0548
11418
23258
39798
437008
550018

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.8b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(tanh (/ x y))
0.3b
(- (tanh (/ t y)) (tanh (/ x y)))
5.1b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
14×tanh-def
11×associate-*r/
9×pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
6×add-log-exp
5×add-cube-cbrt associate-*r*
3×sub-neg pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in flip3-- distribute-lft-in flip-- distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
4 → 78
Calls
4 calls:
2.0ms
(tanh (/ t y))
2.0ms
(tanh (/ x y))
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
11.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series191.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(tanh (/ t y))
26.0ms
(tanh (/ x y))
72.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
68.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify60.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
05121026
12380971
25001971

prune135.0ms

Filtered
71 candidates to 90 candidates (-26.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New85590
Fresh000
Picked011
Done000
Total85691

Merged error: 1.5b

Counts
91 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.3b
(- (tanh (/ t y)) (tanh (/ x y)))
1.0b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.2b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
27×frac-sub
19×tanh-def
13×add-sqr-sqrt
11×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
10×distribute-rgt-in distribute-lft-in
7×add-cube-cbrt sub-neg
6×associate-*r* associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×flip3-- flip--
2×*-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
4 → 105
Calls
4 calls:
2.0ms
(tanh (/ t y))
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
12.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series250.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(tanh (/ t y))
72.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
87.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
63.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
05391404
123441324
250011324

prune153.0ms

Filtered
85 candidates to 117 candidates (-37.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1152117
Fresh134
Picked011
Done011
Total1167123

Merged error: 0.7b

Counts
123 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) 3)
0.3b
(- (tanh (/ t y)) (tanh (/ x y)))
5.1b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
27.8b
(cbrt (pow (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) 3))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
36×frac-sub
33×associate-*r/
24×tanh-def
22×cube-div
15×pow1 add-exp-log add-cbrt-cube
11×add-sqr-sqrt cbrt-div *-un-lft-identity
8×cbrt-prod
7×add-cube-cbrt
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
5×associate-*r*
4×flip3-- flip--
3×sub-neg pow-unpow pow-pow pow-exp rem-cube-cbrt
2×distribute-rgt-in cube-mult unpow-prod-down distribute-lft-in unpow3 cube-prod distribute-lft-out-- difference-of-squares sqr-pow
1×pow-to-exp pow1/3 diff-log associate-*l* *-commutative rem-cbrt-cube
Counts
4 → 122
Calls
4 calls:
12.0ms
(pow (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) 3)
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
11.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
7.0ms
(cbrt (pow (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) 3))

series332.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(pow (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) 3)
74.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
65.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
67.0ms
(cbrt (pow (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) 3))

simplify108.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07451958
141121923
250011923

prune211.0ms

Filtered
97 candidates to 134 candidates (-38.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1340134
Fresh044
Picked011
Done022
Total1347141

Merged error: 0.7b

Counts
141 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (tanh (/ t y)) (tanh (/ t y)))
0.2b
(- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))
6.0b
(/ (* (* y z) (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y))))
6.5b
(* (* y z) (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
819×frac-times
734×tanh-def
727×associate-*r/
675×frac-sub
273×associate-*l/
227×associate-/l/
20×add-exp-log add-cbrt-cube
16×pow1
15×*-un-lft-identity
13×add-sqr-sqrt
11×add-cube-cbrt associate-/r/
9×frac-add
7×associate-*r* prod-exp cbrt-unprod
6×add-log-exp
4×times-frac associate-*l* pow-prod-down associate-/r*
3×cbrt-undiv sub-neg flip3-- swap-sqr div-exp flip--
2×distribute-rgt-in distribute-lft-in *-commutative distribute-lft-out difference-of-squares
1×pow2 frac-2neg flip3-+ pow-plus diff-log clear-num pow-sqr pow-prod-up flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 791
Calls
4 calls:
7.0ms
(* (tanh (/ t y)) (tanh (/ t y)))
20.0ms
(- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))
59.0ms
(/ (* (* y z) (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y))))
43.0ms
(* (* y z) (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))

series681.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (tanh (/ t y)) (tanh (/ t y)))
152.0ms
(- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))
389.0ms
(/ (* (* y z) (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y))))
106.0ms
(* (* y z) (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))

simplify242.0ms

Algorithm
egg-herbie
Counts
803 → 803
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
0500128588

prune3.7s

Filtered
539 candidates to 803 candidates (-49.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New8021803
Fresh303
Picked011
Done213
Total8073810

Merged error: 0.0b

Counts
810 → 3

regimes213.0ms

Accuracy

2.8% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch31.0ms

Steps
ItersRangePoint
6
-5.524095595067181e+133
-4.4361496528875285e+132
-5.394429780552827e+133

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02311
12311

end0.0ms

sample2.5s

Algorithm
intervals
sampling

Space saved by range analysis: 1.937368%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
407.0ms7758×body80valid
21.0ms413×body80invalid
18.0ms96×body640valid
12.0ms45×body1280valid
8.0ms59×body320valid
4.0ms42×body160valid

Profiling

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