Details

Time bar (total: 12.1s)

sample69.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
16.0ms254×body80nan

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 4 (137.0ms)

IterNodesCost
02833
15033
210732
334632
4138731
done500131

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.4b
(/ (/ 2.0 3.0) t)
1.4b
(fma (- (/ (/ 2.0 3.0) t) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
3.5b
(/ (* z (sqrt (+ t a))) t)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
55×add-sqr-sqrt
53×*-un-lft-identity
51×add-cube-cbrt
16×add-exp-log add-cbrt-cube
14×associate-/l*
7×associate-*r*
6×pow1 associate-/r* div-inv
5×cbrt-undiv div-exp sqrt-prod
4×expm1-log1p-u sqrt-div associate-*r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/l/
2×frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ unswap-sqr
1×pow-prod-down *-commutative fma-udef distribute-lft-out
Counts
4 → 134
Calls
4 calls:
11.0ms
(* z (sqrt (+ t a)))
8.0ms
(/ (/ 2.0 3.0) t)
0.0ms
(fma (- (/ (/ 2.0 3.0) t) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series341.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* z (sqrt (+ t a)))
17.0ms
(/ (/ 2.0 3.0) t)
181.0ms
(fma (- (/ (/ 2.0 3.0) t) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
79.0ms
(/ (* z (sqrt (+ t a))) t)

simplify751.0ms

Counts
146 → 146
Iterations

Useful iterations: done (747.0ms)

IterNodesCost
03181876
17431754
221531622
done50011616

prune756.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.3b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
1.4b
(fma (- (/ (/ 2.0 3.0) t) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
58×times-frac
47×*-un-lft-identity
46×associate-*r*
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
25×add-exp-log
18×add-cbrt-cube
10×unswap-sqr
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 125
Calls
4 calls:
0.0ms
(cbrt t)
1.0ms
(cbrt t)
40.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
0.0ms
(fma (- (/ (/ 2.0 3.0) t) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

series679.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt t)
177.0ms
(cbrt t)
112.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
212.0ms
(fma (- (/ (/ 2.0 3.0) t) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

simplify904.0ms

Counts
137 → 137
Iterations

Useful iterations: done (900.0ms)

IterNodesCost
02452460
16932293
225641806
done50011795

prune695.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
12.1b
(log (exp (cbrt t)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×log-pow
6×exp-prod
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×log-prod pow1/3
1×rem-log-exp
Counts
4 → 59
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
0.0ms
(cbrt t)
5.0ms
(log (exp (cbrt t)))

series715.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt t)
186.0ms
(cbrt t)
177.0ms
(cbrt t)
177.0ms
(log (exp (cbrt t)))

simplify1.6s

Counts
71 → 71
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
055358
178301
2125274
3218262
4463262
51325262
done5001262

prune438.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* c (+ a 0.8333333333333334))
0.0b
(/ x (fma y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))) x))
1.9b
(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
13×add-cube-cbrt
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×associate-*r*
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l*
2×distribute-rgt-in distribute-lft-in associate-*r/ associate--l+
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ fma-neg diff-log div-exp prod-diff pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod flip-+ div-inv distribute-lft-out unswap-sqr
Counts
3 → 72
Calls
3 calls:
9.0ms
(* c (+ a 0.8333333333333334))
2.0ms
(/ x (fma y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))) x))
6.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

series200.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(* c (+ a 0.8333333333333334))
134.0ms
(/ x (fma y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))) x))
35.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

simplify1.4s

Counts
81 → 81
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01351282
13021237
28301140
325881083
done50001082

prune263.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes235.0ms

Accuracy

0% (0.9b remaining)

Error of 1.4b against oracle of 0.5b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02938
13238
done3238

end0.0ms

sample1.7s

Algorithm
intervals
Results
566.0ms8000×body80valid
520.0ms8148×body80nan