Details

Time bar (total: 19.7s)

sample143.0ms

Algorithm
intervals
Results
50.0ms256×body80valid
29.0ms227×body80nan

simplify1.1s

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.9b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (fma y (exp (* 2.0 (fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t))))) x))
0.3b
(/ (/ 2.0 t) 3.0)
2.8b
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
5.4b
(* (sqrt (+ a t)) (/ z t))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
95×times-frac
73×add-sqr-sqrt
65×*-un-lft-identity
63×add-cube-cbrt
16×add-cbrt-cube add-exp-log associate-/l*
13×associate-*r*
7×associate-*l* div-inv
6×pow1 associate-/r* sqrt-prod
5×cbrt-undiv div-exp
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp unswap-sqr
2×frac-times clear-num frac-2neg flip3-+ associate-*l/ prod-exp cbrt-unprod flip-+
1×pow-prod-down associate-*r/ *-commutative fma-udef distribute-lft-out associate-/l/
Counts
4 → 155
Calls
4 calls:
7.0ms
(/ x (fma y (exp (* 2.0 (fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t))))) x))
16.0ms
(/ (/ 2.0 t) 3.0)
0.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
25.0ms
(* (sqrt (+ a t)) (/ z t))

series729.0ms

Counts
4 → 12
Calls
4 calls:
420.0ms
(/ x (fma y (exp (* 2.0 (fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t))))) x))
21.0ms
(/ (/ 2.0 t) 3.0)
200.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
89.0ms
(* (sqrt (+ a t)) (/ z t))

simplify1.6s

Counts
167 → 167
Iterations
IterNodes
done5001
23684
1851
0358

prune1.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize75.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.6b
(* (sqrt (+ a t)) (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))))
2.8b
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (* (sqrt (+ a t)) (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t)))) (/ (cbrt z) (cbrt t))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
10×add-sqr-sqrt *-un-lft-identity
9×frac-times pow1 prod-exp cbrt-unprod
8×sqrt-div add-cube-cbrt
7×associate-*l*
6×cbrt-prod associate-*r/
5×associate-*l/ sqrt-prod
4×expm1-log1p-u cbrt-undiv flip3-+ div-exp flip-+ log1p-expm1-u add-log-exp
3×pow-prod-down
2×pow1/3 unswap-sqr
1×associate-*r* *-commutative fma-udef distribute-lft-out
Counts
4 → 79
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
70.0ms
(* (sqrt (+ a t)) (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))))
0.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (* (sqrt (+ a t)) (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t)))) (/ (cbrt z) (cbrt t))))

series1.1s

Counts
4 → 12
Calls
4 calls:
296.0ms
(cbrt t)
313.0ms
(cbrt t)
301.0ms
(* (sqrt (+ a t)) (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))))
222.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (* (sqrt (+ a t)) (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t)))) (/ (cbrt z) (cbrt t))))

simplify993.0ms

Counts
91 → 91
Iterations
IterNodes
done5000
22054
1631
0237

prune956.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (fma y (exp (* 2.0 (fma (- 0.6666666666666666) (/ c t) (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c))))) x))
0.1b
(fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c))
1.3b
(fma (- 0.6666666666666666) (/ c t) (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log
3×expm1-log1p-u pow1 associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 49
Calls
3 calls:
4.0ms
(/ x (fma y (exp (* 2.0 (fma (- 0.6666666666666666) (/ c t) (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c))))) x))
0.0ms
(fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c))
0.0ms
(fma (- 0.6666666666666666) (/ c t) (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)))

series314.0ms

Counts
3 → 9
Calls
3 calls:
200.0ms
(/ x (fma y (exp (* 2.0 (fma (- 0.6666666666666666) (/ c t) (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c))))) x))
58.0ms
(fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c))
56.0ms
(fma (- 0.6666666666666666) (/ c t) (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)))

simplify736.0ms

Counts
58 → 58
Iterations
IterNodes
done5001
31623
2414
1153
091

prune478.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
20.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
296.0ms
(* (cbrt x) (cbrt x))
279.0ms
(cbrt x)
316.0ms
(cbrt x)
329.0ms
(cbrt x)

simplify1.1s

Counts
93 → 93
Iterations
IterNodes
done5001
2725
1142
065

prune821.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes882.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 1.5b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done35
135
030

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.1s8000×body80valid
1.7s7927×body80nan