Details

Time bar (total: 59.5s)

sample46.0ms

Algorithm
intervals
Results
21.0ms262×body80valid
1.0ms4×body640valid
1.0ms3×body320valid
0.0ms2×body160valid

simplify1.4s

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(tanh (/ x y))
0.1b
(- (tanh (/ t y)) (tanh (/ x y)))
4.7b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite166.0ms

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:
4.0ms
(tanh (/ t y))
4.0ms
(tanh (/ x y))
27.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
127.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series921.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(tanh (/ t y))
152.0ms
(tanh (/ x y))
364.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
300.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify947.0ms

Counts
90 → 90

prune448.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.1b
(- (tanh (/ t y)) (tanh (/ x y)))
0.9b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.2b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite210.0ms

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))
23.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
65.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
115.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
159.0ms
(tanh (/ t y))
425.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
403.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
248.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.2s

Counts
117 → 117

prune616.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.1b

localize25.0ms

Local error

Found 4 expressions with local error:

3.2b
(* 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)))))))
4.6b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.6b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.6b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite2.7s

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:
1.6s
(* 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)))))))
26.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
30.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
24.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series3.0s

Counts
4 → 12
Calls
4 calls:
293.0ms
(* 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)))))))
914.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
882.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
883.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify4.6s

Counts
1820 → 1820

prune31.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.1b

localize43.0ms

Local error

Found 4 expressions with local error:

1.9b
(* y (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
4.6b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.6b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
4.6b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite580.0ms

Algorithm
rewrite-expression-head
Rules
451×associate-*r/
297×cbrt-div
243×frac-sub
162×tanh-def
121×frac-times
27×flip3-- flip--
11×associate-*l/
9×pow1 add-exp-log
7×add-cbrt-cube
6×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 222
Calls
4 calls:
404.0ms
(* y (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
47.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
41.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
33.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series3.6s

Counts
4 → 12
Calls
4 calls:
1.1s
(* y (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
874.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
731.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
856.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.4s

Counts
234 → 234

prune2.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.1b

regimes155.0ms

Accuracy

0% (1.0b remaining)

Error of 2.0b against oracle of 1.0b and baseline of 2.0b

bsearch0.0ms

simplify1.2s

end0.0ms

sample1.2s

Algorithm
intervals
Results
703.0ms8270×body80valid
32.0ms50×body160valid
25.0ms96×body640valid
19.0ms51×body1280valid
10.0ms60×body320valid