Details

Time bar (total: 21.4s)

sample61.0ms

Algorithm
intervals
Results
25.0ms270×body80valid
1.0ms2×body640valid
0.0ms1×body320valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5000
54826
41010
3334
2147
154
012

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(tanh (/ x y))
0.0b
(tanh (/ t y))
4.6b
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
11×add-cube-cbrt
9×prod-diff frac-sub
8×tanh-def
6×add-log-exp
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u
3×fma-neg
1×sub-neg flip3-- diff-log fma-udef flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 71
Calls
4 calls:
16.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
3.0ms
(tanh (/ x y))
3.0ms
(tanh (/ t y))
1.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

series994.0ms

Counts
4 → 12
Calls
4 calls:
381.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
112.0ms
(tanh (/ x y))
134.0ms
(tanh (/ t y))
367.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify1.6s

Counts
83 → 83
Iterations
IterNodes
done5001
21735
1450
0161

prune764.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.2b

localize117.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x))
4.6b
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
4.6b
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
4.6b
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×cbrt-prod fma-udef
1×pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x))
1.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
0.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
1.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

series1.8s

Counts
4 → 12
Calls
4 calls:
672.0ms
(cbrt (fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x))
405.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
347.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
384.0ms
(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify1.7s

Counts
55 → 55
Iterations
IterNodes
done5001
31070
2352
1144
056

prune633.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.2b

localize68.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (tanh (/ x y)) (tanh (/ x y))) (tanh (/ x y)))
0.1b
(* (tanh (/ x y)) (tanh (/ x y)))
4.6b
(fma (* y z) (- (tanh (/ t y)) (cbrt (* (* (tanh (/ x y)) (tanh (/ x y))) (tanh (/ x y))))) x)
14.9b
(cbrt (* (* (tanh (/ x y)) (tanh (/ x y))) (tanh (/ x y))))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
171×frac-times
104×tanh-def
63×cbrt-div
57×associate-*l/
33×associate-*r/
30×pow1
12×add-sqr-sqrt
11×add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt
7×pow-plus pow-prod-up
6×associate-*r*
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow2 swap-sqr pow-sqr
2×pow3 *-commutative unswap-sqr
1×cbrt-prod pow1/3 rem-cbrt-cube fma-udef
Counts
4 → 220
Calls
4 calls:
83.0ms
(* (* (tanh (/ x y)) (tanh (/ x y))) (tanh (/ x y)))
33.0ms
(* (tanh (/ x y)) (tanh (/ x y)))
1.0ms
(fma (* y z) (- (tanh (/ t y)) (cbrt (* (* (tanh (/ x y)) (tanh (/ x y))) (tanh (/ x y))))) x)
45.0ms
(cbrt (* (* (tanh (/ x y)) (tanh (/ x y))) (tanh (/ x y))))

series930.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(* (* (tanh (/ x y)) (tanh (/ x y))) (tanh (/ x y)))
171.0ms
(* (tanh (/ x y)) (tanh (/ x y)))
403.0ms
(fma (* y z) (- (tanh (/ t y)) (cbrt (* (* (tanh (/ x y)) (tanh (/ x y))) (tanh (/ x y))))) x)
147.0ms
(cbrt (* (* (tanh (/ x y)) (tanh (/ x y))) (tanh (/ x y))))

simplify2.2s

Counts
232 → 232
Iterations
IterNodes
done5000
23396
1796
0330

prune2.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(tanh (/ t y))
0.0b
(+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x)
1.9b
(* (- (tanh (/ t y)) (tanh (/ x y))) y)

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
11×associate-*l/
10×add-sqr-sqrt
9×frac-sub
8×*-un-lft-identity tanh-def
6×pow1 add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u
3×associate-*r*
1×+-commutative sum-log fma-def flip3-+ flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 71
Calls
4 calls:
3.0ms
(tanh (/ x y))
3.0ms
(tanh (/ t y))
70.0ms
(+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x)
52.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) y)

series1.1s

Counts
4 → 12
Calls
4 calls:
154.0ms
(tanh (/ x y))
147.0ms
(tanh (/ t y))
360.0ms
(+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x)
397.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) y)

simplify1.5s

Counts
83 → 83
Iterations
IterNodes
done5002
21975
1465
0172

prune613.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

regimes228.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
011

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.1s8312×body80valid
52.0ms44×body1280valid
22.0ms82×body640valid
12.0ms56×body320valid
3.0ms23×body160valid