Details

Time bar (total: 9.5s)

sample25.0ms

Algorithm
intervals
Results
9.0ms259×body80valid
1.0ms6×body640valid
0.0ms2×body1280valid
0.0ms3×body320valid
0.0ms2×body160valid

simplify73.0ms

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: 3.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(tanh (/ t y))
4.1b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite81.0ms

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:
13.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
8.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.0ms
(tanh (/ t y))
52.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series758.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
320.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
76.0ms
(tanh (/ t y))
151.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify72.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05841136
126581079
250011079

prune315.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.0b
(tanh (/ t y))
0.3b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.3b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
18×distribute-rgt-in distribute-lft-in frac-sub
13×tanh-def
11×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
10×sub-neg
9×*-un-lft-identity
8×associate-+r+
7×add-cube-cbrt
6×associate-*r* associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 101
Calls
4 calls:
11.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
2.0ms
(tanh (/ t y))
44.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
82.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series744.0ms

Counts
4 → 12
Calls
4 calls:
315.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
75.0ms
(tanh (/ t y))
204.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
151.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05441169
124201098
250011098

prune342.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
2.9b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.9b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.9b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
297×cbrt-div
243×frac-sub
162×tanh-def
154×associate-*r/
121×frac-times
27×flip3-- flip--
16×pow1 add-exp-log
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
12×add-cbrt-cube
11×associate-*l/
8×pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt
4×add-log-exp
3×pow1/3 distribute-lft-out-- difference-of-squares
1×associate-*r* associate-*l* *-commutative
Counts
4 → 237
Calls
4 calls:
206.0ms
(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
12.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

series1.5s

Counts
4 → 12
Calls
4 calls:
382.0ms
(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
367.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
365.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
366.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

simplify129.0ms

Algorithm
egg-herbie
Counts
249 → 249
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
014818066
140287926
250027908

prune1.9s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

1.6b
(* (* y z) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))
2.9b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.9b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.9b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-div
36×frac-sub
24×tanh-def
20×cbrt-prod
17×add-sqr-sqrt *-un-lft-identity
11×associate-*r/
9×pow1 add-exp-log add-cube-cbrt
8×associate-*r*
7×add-cbrt-cube
4×flip3-- flip-- distribute-lft-out-- add-log-exp difference-of-squares
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
1×associate-*l* *-commutative
Counts
4 → 106
Calls
4 calls:
55.0ms
(* (* y z) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))
12.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
15.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

series1.4s

Counts
4 → 12
Calls
4 calls:
257.0ms
(* (* y z) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))
367.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
363.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
363.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

simplify73.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06292183
123942123
250022111

prune637.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.5b

regimes222.0ms

Accuracy

0% (4.1b remaining)

Error of 4.6b against oracle of 0.5b and baseline of 4.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample645.0ms

Algorithm
intervals
Results
313.0ms8330×body80valid
12.0ms86×body640valid
10.0ms56×body1280valid
6.0ms57×body320valid
2.0ms26×body160valid