Details

Time bar (total: 29.9s)

sample112.0ms

Algorithm
intervals
Results
41.0ms239×body80nan
30.0ms256×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5003
41440
3365
2102
150
028

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
0.3b
(/ (/ 2.0 t) 3.0)
0.6b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
5.0b
(/ (sqrt (+ a t)) (/ t z))

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
548×times-frac
469×add-sqr-sqrt
406×*-un-lft-identity
347×add-cube-cbrt
220×prod-diff
131×associate--r+
56×sqrt-prod
41×difference-of-squares
34×div-inv
20×associate-/l*
16×associate-/r* distribute-lft-out--
14×add-cbrt-cube add-exp-log distribute-lft-out
13×fma-neg
9×add-log-exp
6×cbrt-undiv div-exp
4×expm1-log1p-u pow1 log1p-expm1-u
3×diff-log associate-/l/
2×clear-num sub-neg frac-2neg flip3-- sqrt-div frac-sub flip--
1×flip3-+ associate-/r/ flip-+ fma-udef associate--r-
Counts
4 → 469
Calls
4 calls:
180.0ms
(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
9.0ms
(/ (/ 2.0 t) 3.0)
0.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
25.0ms
(/ (sqrt (+ a t)) (/ t z))

series405.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
32.0ms
(/ (/ 2.0 t) 3.0)
242.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
93.0ms
(/ (sqrt (+ a t)) (/ t z))

simplify3.2s

Counts
481 → 481
Iterations
IterNodes
done5000
24843
12147
0870

prune6.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize107.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.7b
(/ (* (* (cbrt z) (cbrt z)) (sqrt (+ t a))) (/ t (cbrt z)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
33×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×cbrt-prod
25×add-exp-log
22×associate-/r*
18×add-cbrt-cube
9×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×pow1/3 div-inv
2×sqrt-div associate-*r/ associate-/l/
1×clear-num frac-2neg flip3-+ associate-/r/ flip-+ associate-/l*
Counts
4 → 111
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
72.0ms
(/ (* (* (cbrt z) (cbrt z)) (sqrt (+ t a))) (/ t (cbrt z)))

series964.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(cbrt z)
270.0ms
(cbrt z)
310.0ms
(cbrt z)
150.0ms
(/ (* (* (cbrt z) (cbrt z)) (sqrt (+ t a))) (/ t (cbrt z)))

simplify1.9s

Counts
123 → 123
Iterations
IterNodes
done5092
22628
1662
0220

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(* b (+ 0.8333333333333334 a))
0.0b
(fma y (exp (* 2.0 (- (* a c) (* b (+ 0.8333333333333334 a))))) x)
1.2b
(- (* a c) (* b (+ 0.8333333333333334 a)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
4×associate-*r*
3×expm1-log1p-u associate-*l* log1p-expm1-u
2×distribute-rgt-in distribute-lft-in associate-*r/ associate--r+
1×sub-neg flip3-+ flip3-- fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ fma-udef flip-- distribute-lft-out unswap-sqr
Counts
3 → 53
Calls
3 calls:
20.0ms
(* b (+ 0.8333333333333334 a))
0.0ms
(fma y (exp (* 2.0 (- (* a c) (* b (+ 0.8333333333333334 a))))) x)
7.0ms
(- (* a c) (* b (+ 0.8333333333333334 a)))

series278.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* b (+ 0.8333333333333334 a))
173.0ms
(fma y (exp (* 2.0 (- (* a c) (* b (+ 0.8333333333333334 a))))) x)
54.0ms
(- (* a c) (* b (+ 0.8333333333333334 a)))

simplify3.3s

Counts
62 → 62
Iterations
IterNodes
done5000
34553
2849
1271
0101

prune499.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma y (exp (* 2.0 (- (* a c) (* b (+ 0.8333333333333334 a))))) x)) (cbrt (fma y (exp (* 2.0 (- (* a c) (* b (+ 0.8333333333333334 a))))) x)))
1.2b
(- (* a c) (* b (+ 0.8333333333333334 a)))
1.2b
(- (* a c) (* b (+ 0.8333333333333334 a)))
1.2b
(- (* a c) (* b (+ 0.8333333333333334 a)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×cbrt-prod
12×*-un-lft-identity add-cube-cbrt
11×pow1
10×add-log-exp
6×pow1/3 swap-sqr associate-*r* associate-*l* add-exp-log associate--r+
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u unswap-sqr
3×distribute-rgt-in sub-neg distribute-lft-in flip3-- fma-neg diff-log prod-diff flip--
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 96
Calls
4 calls:
15.0ms
(* (cbrt (fma y (exp (* 2.0 (- (* a c) (* b (+ 0.8333333333333334 a))))) x)) (cbrt (fma y (exp (* 2.0 (- (* a c) (* b (+ 0.8333333333333334 a))))) x)))
6.0ms
(- (* a c) (* b (+ 0.8333333333333334 a)))
6.0ms
(- (* a c) (* b (+ 0.8333333333333334 a)))
6.0ms
(- (* a c) (* b (+ 0.8333333333333334 a)))

series769.0ms

Counts
4 → 12
Calls
4 calls:
631.0ms
(* (cbrt (fma y (exp (* 2.0 (- (* a c) (* b (+ 0.8333333333333334 a))))) x)) (cbrt (fma y (exp (* 2.0 (- (* a c) (* b (+ 0.8333333333333334 a))))) x)))
40.0ms
(- (* a c) (* b (+ 0.8333333333333334 a)))
43.0ms
(- (* a c) (* b (+ 0.8333333333333334 a)))
55.0ms
(- (* a c) (* b (+ 0.8333333333333334 a)))

simplify2.2s

Counts
108 → 108
Iterations
IterNodes
done5006
33458
2919
1315
0126

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes718.0ms

Accuracy

0% (1.0b remaining)

Error of 1.6b against oracle of 0.6b and baseline of 1.6b

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done32
132
029

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.7s8000×body80valid
1.6s7974×body80nan