Details

Time bar (total: 25.6s)

sample124.0ms

Algorithm
intervals
Results
51.0ms239×body80nan
32.0ms256×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5002
41923
3388
2108
150
028

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
0.3b
(/ (/ 2.0 t) 3.0)
0.6b
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
4.8b
(* (sqrt (+ a t)) (/ z t))

rewrite240.0ms

Algorithm
rewrite-expression-head
Rules
293×times-frac
220×add-sqr-sqrt
217×*-un-lft-identity
210×add-cube-cbrt
131×associate-+r+
129×prod-diff
19×div-inv
14×add-cbrt-cube add-exp-log
13×fma-def associate-*r* associate-/l*
9×add-log-exp
7×associate-*l*
6×pow1 sqrt-prod
4×expm1-log1p-u cbrt-undiv sqrt-div div-exp log1p-expm1-u unswap-sqr
3×associate-/r* flip3-+ flip-+ distribute-lft-out
2×frac-times sum-log associate-*l/ frac-add prod-exp cbrt-unprod
1×+-commutative clear-num associate-+r- sub-neg frac-2neg flip3-- diff-log pow-prod-down associate-*r/ *-commutative fma-udef flip-- distribute-lft-out-- associate-/l/
Counts
4 → 289
Calls
4 calls:
144.0ms
(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
18.0ms
(/ (/ 2.0 t) 3.0)
1.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
51.0ms
(* (sqrt (+ a t)) (/ z t))

series777.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
22.0ms
(/ (/ 2.0 t) 3.0)
639.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
88.0ms
(* (sqrt (+ a t)) (/ z t))

simplify1.6s

Counts
301 → 301
Iterations
IterNodes
done5000
11886
0696

prune4.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down associate-*l/
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×frac-times flip3-+ flip-+
1×associate-*l* associate-*r/ *-commutative div-inv
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
124.0ms
(* (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

series973.0ms

Counts
4 → 12
Calls
4 calls:
276.0ms
(cbrt z)
257.0ms
(cbrt z)
272.0ms
(cbrt z)
166.0ms
(* (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

simplify2.8s

Counts
104 → 104
Iterations
IterNodes
done5001
23817
1567
0180

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

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:
19.0ms
(* b (+ 0.8333333333333334 a))
0.0ms
(fma y (exp (* 2.0 (- (* a c) (* b (+ 0.8333333333333334 a))))) x)
8.0ms
(- (* a c) (* b (+ 0.8333333333333334 a)))

series301.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* b (+ 0.8333333333333334 a))
212.0ms
(fma y (exp (* 2.0 (- (* a c) (* b (+ 0.8333333333333334 a))))) x)
47.0ms
(- (* a c) (* b (+ 0.8333333333333334 a)))

simplify1.1s

Counts
62 → 62
Iterations
IterNodes
done5002
21128
1273
0101

prune496.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize63.0ms

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)))

rewrite36.0ms

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:
9.0ms
(* (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)))
8.0ms
(- (* a c) (* b (+ 0.8333333333333334 a)))
11.0ms
(- (* a c) (* b (+ 0.8333333333333334 a)))

series775.0ms

Counts
4 → 12
Calls
4 calls:
621.0ms
(* (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)))
53.0ms
(- (* a c) (* b (+ 0.8333333333333334 a)))
50.0ms
(- (* a c) (* b (+ 0.8333333333333334 a)))
51.0ms
(- (* a c) (* b (+ 0.8333333333333334 a)))

simplify1.8s

Counts
108 → 108
Iterations
IterNodes
done5001
21219
1318
0126

prune1.2s

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

simplify6.0ms

Iterations
IterNodes
done34
134
029

end0.0ms

sample4.7s

Algorithm
intervals
Results
1.9s8000×body80valid
1.8s7974×body80nan