Details

Time bar (total: 6.3s)

sample37.0ms

Algorithm
intervals
Results
22.0ms265×body80valid
2.0ms7×body320valid
1.0ms3×body640valid
0.0ms1×body160valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0548
11418
23258
39648
434728
550028

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

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 (/ x y))
6.3b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite38.0ms

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:
7.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
3.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
1.0ms
(tanh (/ x y))
25.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series800.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
331.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
79.0ms
(tanh (/ x y))
159.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify77.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05921136
127181079
250011079

prune309.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.0b
(tanh (/ x y))
0.9b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.1b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite73.0ms

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 (/ x y))
23.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
40.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series791.0ms

Counts
4 → 12
Calls
4 calls:
336.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
81.0ms
(tanh (/ x y))
215.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
160.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify69.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05381169
124071098
250011098

prune329.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
1.1b
(* z (- (tanh (/ x y))))
1.5b
(* z (tanh (/ t y)))
4.1b
(* y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
53×associate-*r/
21×distribute-neg-frac
18×add-sqr-sqrt frac-add
17×associate-*r*
14×tanh-def
12×add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log add-cbrt-cube
9×associate-*l*
6×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod unswap-sqr
2×flip3-+ flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in neg-mul-1 distribute-lft-in unsub-neg sum-log
Counts
4 → 105
Calls
4 calls:
7.0ms
(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
12.0ms
(* z (- (tanh (/ x y))))
5.0ms
(* z (tanh (/ t y)))
23.0ms
(* y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))

series553.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y)))))
90.0ms
(* z (- (tanh (/ x y))))
83.0ms
(* z (tanh (/ t y)))
173.0ms
(* y (+ (* z (tanh (/ t y))) (* z (- (tanh (/ x y))))))

simplify93.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
06801241
134701157
250021151

prune378.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.9b
(* (* (cbrt y) (cbrt y)) (* (* (cbrt y) z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.3b
(* (* (cbrt y) z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
30×pow1 add-exp-log
21×add-cbrt-cube
18×pow-prod-down prod-exp frac-sub cbrt-unprod
12×tanh-def
10×distribute-rgt-in distribute-lft-in
9×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-prod sub-neg associate-*r*
4×add-log-exp
2×flip3-- pow1/3 associate-*l* *-commutative flip--
1×distribute-lft-out-- difference-of-squares
Counts
4 → 104
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt y)
69.0ms
(* (* (cbrt y) (cbrt y)) (* (* (cbrt y) z) (- (tanh (/ t y)) (tanh (/ x y)))))
27.0ms
(* (* (cbrt y) z) (- (tanh (/ t y)) (tanh (/ x y))))

series870.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt y)
179.0ms
(cbrt y)
188.0ms
(* (* (cbrt y) (cbrt y)) (* (* (cbrt y) z) (- (tanh (/ t y)) (tanh (/ x y)))))
318.0ms
(* (* (cbrt y) z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify91.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
06091510
132641214
250011159

prune341.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.9b

regimes176.0ms

Accuracy

0% (2.4b remaining)

Error of 2.8b against oracle of 0.4b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01913
11913

end0.0ms

sample992.0ms

Algorithm
intervals
Results
688.0ms8339×body80valid
24.0ms53×body1280valid
24.0ms80×body640valid
19.0ms62×body320valid
6.0ms37×body160valid