Details

Time bar (total: 5.5s)

sample27.0ms

Algorithm
intervals
Results
13.0ms269×body80valid
1.0ms3×body640valid
0.0ms3×body320valid
0.0ms2×body160valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0548
11418
23258
39648
434728
550028

prune6.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.5b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
4.8b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite26.0ms

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 (/ x y))
2.0ms
(tanh (/ t y))
7.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
12.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series535.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(tanh (/ x y))
79.0ms
(tanh (/ t y))
217.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
158.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify64.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05121026
12370971
25002971

prune258.0ms

Filtered
90 candidates to 71 candidates (78.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New84690
Fresh000
Picked101
Done000
Total85691

Merged error: 1.0b

Counts
91 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.6b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.2b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite40.0ms

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))
7.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
14.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
13.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series674.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(tanh (/ t y))
218.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
218.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
155.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05391404
123341324
250031324

prune320.0ms

Filtered
117 candidates to 86 candidates (73.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1134117
Fresh235
Picked101
Done000
Total1167123

Merged error: 1.0b

Counts
123 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (- (tanh (/ x y))) z)
2.9b
(* (tanh (/ t y)) z)
3.4b
(* y (* (- (tanh (/ x y))) z))
6.1b
(* y (* (tanh (/ t y)) z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
19×associate-*l*
18×pow1 add-exp-log add-cbrt-cube
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity associate-*l/
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
6×associate-*r/ distribute-neg-frac
4×*-commutative tanh-def add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×distribute-lft-neg-out unswap-sqr
1×neg-mul-1 distribute-rgt-neg-out
Counts
4 → 93
Calls
4 calls:
6.0ms
(* (- (tanh (/ x y))) z)
5.0ms
(* (tanh (/ t y)) z)
11.0ms
(* y (* (- (tanh (/ x y))) z))
6.0ms
(* y (* (tanh (/ t y)) z))

series417.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (- (tanh (/ x y))) z)
99.0ms
(* (tanh (/ t y)) z)
112.0ms
(* y (* (- (tanh (/ x y))) z))
109.0ms
(* y (* (tanh (/ t y)) z))

simplify51.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0413588
11715510
25001510

prune253.0ms

Filtered
105 candidates to 74 candidates (70.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1041105
Fresh066
Picked101
Done000
Total1057112

Merged error: 0.5b

Counts
112 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

2.2b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
6.6b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
6.6b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
6.6b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
88×associate-*r/
36×frac-sub
33×cbrt-div
24×tanh-def
9×pow1 add-exp-log add-cbrt-cube
8×distribute-rgt-in distribute-lft-in
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×sub-neg flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 97
Calls
4 calls:
13.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
11.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
11.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
11.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
149.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
363.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
361.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
363.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify60.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05651972
120151876
250031858

prune444.0ms

Filtered
109 candidates to 90 candidates (82.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1090109
Fresh066
Picked011
Done000
Total1097116

Merged error: 0.5b

Counts
116 → 7

regimes141.0ms

Accuracy

0% (1.4b remaining)

Error of 2.4b against oracle of 1.0b and baseline of 2.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01927
11927

end0.0ms

sample685.0ms

Algorithm
intervals
Results
412.0ms8287×body80valid
19.0ms104×body640valid
12.0ms44×body1280valid
10.0ms71×body320valid
5.0ms48×body160valid