Details

Time bar (total: 6.1s)

sample25.0ms

Algorithm
intervals
Results
11.0ms267×body80valid
0.0ms3×body320valid
0.0ms1×body1280valid
0.0ms2×body640valid
0.0ms2×body160valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0548
11418
23258
39648
434728
550028

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize11.0ms

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))
5.9b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite39.0ms

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:
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
3.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
1.0ms
(tanh (/ t y))
27.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series798.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
337.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
82.0ms
(tanh (/ t y))
155.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify75.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05841136
126581079
250011079

prune502.0ms

Filtered
95 candidates to 73 candidates (76.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

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

rewrite69.0ms

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:
4.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
1.0ms
(tanh (/ t y))
22.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
37.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series770.0ms

Counts
4 → 12
Calls
4 calls:
324.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
80.0ms
(tanh (/ t y))
208.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
156.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify75.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05441169
124201098
250011098

prune319.0ms

Filtered
113 candidates to 78 candidates (69.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

4.1b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
4.2b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.2b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.2b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
88×associate-*r/
36×frac-sub
24×distribute-rgt-in distribute-lft-in tanh-def
19×pow1 add-exp-log add-cbrt-cube
12×sub-neg
11×cbrt-div
9×associate-*l* pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×flip3-- flip-- add-log-exp
3×associate-*r* *-commutative
1×cbrt-prod pow1/3
Counts
4 → 131
Calls
4 calls:
27.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
38.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
37.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
42.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series830.0ms

Counts
4 → 12
Calls
4 calls:
364.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
154.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
155.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
157.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05651956
120151804
250031798

prune547.0ms

Filtered
143 candidates to 94 candidates (65.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.1b
(pow (tanh (/ t y)) 3)
5.9b
(* (* y z) (- (cbrt (pow (tanh (/ t y)) 3)) (tanh (/ x y))))
12.3b
(cbrt (pow (tanh (/ t y)) 3))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×cbrt-prod
15×cube-div
13×*-un-lft-identity
12×cbrt-div
11×add-cube-cbrt associate-*r/
10×pow1 add-exp-log add-cbrt-cube
9×associate-*r* frac-sub tanh-def
7×unpow-prod-down cube-prod
5×difference-of-squares
4×add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod sqr-pow
2×distribute-rgt-in cube-mult sub-neg distribute-lft-in unpow3
1×pow-to-exp flip3-- pow-pow pow1/3 associate-*l* pow-exp *-commutative flip-- rem-cbrt-cube distribute-lft-out-- rem-cube-cbrt
Counts
4 → 99
Calls
4 calls:
1.0ms
(tanh (/ t y))
2.0ms
(pow (tanh (/ t y)) 3)
48.0ms
(* (* y z) (- (cbrt (pow (tanh (/ t y)) 3)) (tanh (/ x y))))
2.0ms
(cbrt (pow (tanh (/ t y)) 3))

series441.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(tanh (/ t y))
120.0ms
(pow (tanh (/ t y)) 3)
157.0ms
(* (* y z) (- (cbrt (pow (tanh (/ t y)) 3)) (tanh (/ x y))))
82.0ms
(cbrt (pow (tanh (/ t y)) 3))

simplify77.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0567948
12788855
25001848

prune331.0ms

Filtered
111 candidates to 73 candidates (65.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.3b

regimes179.0ms

Accuracy

0% (1.1b remaining)

Error of 2.0b against oracle of 0.9b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample629.0ms

Algorithm
intervals
Results
353.0ms8330×body80valid
16.0ms100×body640valid
9.0ms43×body1280valid
9.0ms75×body320valid
3.0ms33×body160valid