Details

Time bar (total: 31.9s)

sample38.0ms

Algorithm
intervals
Results
24.0ms271×body80valid
1.0ms3×body1280valid
0.0ms3×body160valid
0.0ms1×body640valid
0.0ms1×body320valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0548
11418
23258
39648
434728
550028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.1b
(- (tanh (/ t y)) (tanh (/ x y)))
4.8b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
13×tanh-def
11×associate-*r/
9×pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
8×add-log-exp
5×add-cube-cbrt sub-neg associate-*r*
4×distribute-rgt-in associate-+r+ distribute-lft-in
3×pow-prod-down prod-exp cbrt-unprod
2×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ diff-log associate-*l* sum-log *-commutative flip-+
Counts
4 → 83
Calls
4 calls:
1.0ms
(tanh (/ t y))
3.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
23.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series769.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(tanh (/ t y))
323.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
213.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
155.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify70.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05841136
126581079
250021079

prune295.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.1b
(- (tanh (/ t y)) (tanh (/ x y)))
1.7b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.8b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite73.0ms

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:
1.0ms
(tanh (/ t y))
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
22.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
38.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series661.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(tanh (/ t y))
215.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
214.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
152.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05391404
123341324
250031324

prune353.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

2.8b
(* y (* (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
5.6b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
5.6b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
5.6b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
6655×associate-*r/
4785×cbrt-div
3915×frac-sub
3025×frac-times
2610×tanh-def
435×flip3-- flip--
275×associate-*l/
13×pow1 add-exp-log
9×add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 1808
Calls
4 calls:
680.0ms
(* y (* (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
12.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
12.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
12.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series2.1s

Counts
4 → 12
Calls
4 calls:
193.0ms
(* y (* (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
596.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
594.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
702.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify928.0ms

Algorithm
egg-herbie
Counts
1820 → 1820
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05001111990

prune21.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

1.7b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
5.6b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
5.6b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
5.6b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*r/
36×frac-sub
33×cbrt-div
24×tanh-def
10×add-sqr-sqrt
8×*-un-lft-identity
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
5×associate-*r*
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 95
Calls
4 calls:
21.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
12.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
12.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series2.0s

Counts
4 → 12
Calls
4 calls:
218.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
571.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
585.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
586.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05742089
122072018
250012012

prune583.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.3b

regimes210.0ms

Accuracy

0% (1.3b remaining)

Error of 2.0b against oracle of 0.8b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample1.1s

Algorithm
intervals
Results
762.0ms8338×body80valid
30.0ms107×body640valid
17.0ms45×body1280valid
13.0ms62×body320valid
6.0ms37×body160valid