Details

Time bar (total: 23.2s)

sample183.0ms

Algorithm
intervals
Results
52.0ms46×body10240exit
52.0ms60×body1280valid
17.0ms38×body640valid
10.0ms108×body80valid
9.0ms31×body320valid
5.0ms80×body80nan
3.0ms20×body160valid
2.0ms1×body2560valid
2.0ms6×body640nan
1.0ms2×body1280nan
1.0ms4×body160nan
0.0ms2×body320nan

simplify5.4s

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01213
12013
23512
35312
48412
522412
692512
7487412
done500012

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (exp z))
0.0b
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.1b
(log (+ (- 1.0 y) (* y (exp z))))
3.3b
(+ (- 1.0 y) (* y (exp z)))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×*-un-lft-identity
23×add-cube-cbrt
12×times-frac
11×pow1 associate-+l+
9×prod-diff add-log-exp
8×add-exp-log add-cbrt-cube
5×fma-def log-pow
4×expm1-log1p-u log-div log1p-expm1-u associate-/l*
3×log-prod flip3-+ associate-*r* associate-*l* associate-/r* flip-+
2×div-sub sum-log
1×cbrt-undiv +-commutative associate-+l- sub-neg frac-2neg diff-log div-exp rem-log-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 102
Calls
4 calls:
25.0ms
(* y (exp z))
87.0ms
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
21.0ms
(log (+ (- 1.0 y) (* y (exp z))))
58.0ms
(+ (- 1.0 y) (* y (exp z)))

series861.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* y (exp z))
648.0ms
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
123.0ms
(log (+ (- 1.0 y) (* y (exp z))))
49.0ms
(+ (- 1.0 y) (* y (exp z)))

simplify1.5s

Counts
114 → 114
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02221658
15251552
220271324
done50011312

prune977.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
6.2b
(log (fma (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (cbrt (- 1.0 y)) (* y (exp z))))
14.1b
(fma (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (cbrt (- 1.0 y)) (* y (exp z)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-prod
32×add-sqr-sqrt
30×*-un-lft-identity
14×add-cube-cbrt cbrt-div
12×pow1
10×swap-sqr
8×associate-*r* associate-*l*
7×add-exp-log flip3-- pow1/3 flip-- distribute-lft-out--
5×difference-of-squares
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×log-prod
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus rem-log-exp prod-exp log-pow *-commutative cbrt-unprod fma-udef
Counts
4 → 99
Calls
4 calls:
8.0ms
(cbrt (- 1.0 y))
80.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
1.0ms
(log (fma (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (cbrt (- 1.0 y)) (* y (exp z))))
0.0ms
(fma (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (cbrt (- 1.0 y)) (* y (exp z)))

series974.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (- 1.0 y))
165.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
366.0ms
(log (fma (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (cbrt (- 1.0 y)) (* y (exp z))))
290.0ms
(fma (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (cbrt (- 1.0 y)) (* y (exp z)))

simplify1.3s

Counts
111 → 111
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02281964
15501810
220801471
done50001338

prune684.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.2b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (fma y (fma 0.5 (pow z 2) (* 1.0 z)) (log 1.0)) t))
3.1b
(fma y (fma 0.5 (pow z 2) (* 1.0 z)) (log 1.0))
7.8b
(/ (fma y (fma 0.5 (pow z 2) (* 1.0 z)) (log 1.0)) t)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
48×*-un-lft-identity
46×add-cube-cbrt
39×prod-diff
37×times-frac
5×add-exp-log add-cbrt-cube add-log-exp
4×div-inv
3×pow1 expm1-log1p-u fma-neg associate-/r* log1p-expm1-u associate-/l*
2×difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- fma-udef distribute-lft-out--
Counts
3 → 98
Calls
3 calls:
14.0ms
(- x (/ (fma y (fma 0.5 (pow z 2) (* 1.0 z)) (log 1.0)) t))
0.0ms
(fma y (fma 0.5 (pow z 2) (* 1.0 z)) (log 1.0))
7.0ms
(/ (fma y (fma 0.5 (pow z 2) (* 1.0 z)) (log 1.0)) t)

series430.0ms

Counts
3 → 9
Calls
3 calls:
189.0ms
(- x (/ (fma y (fma 0.5 (pow z 2) (* 1.0 z)) (log 1.0)) t))
97.0ms
(fma y (fma 0.5 (pow z 2) (* 1.0 z)) (log 1.0))
143.0ms
(/ (fma y (fma 0.5 (pow z 2) (* 1.0 z)) (log 1.0)) t)

simplify1.9s

Counts
107 → 107
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02015488
14824921
218413393
done50012569

prune541.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.1b

localize14.0ms

Local error

Found 1 expressions with local error:

5.3b
(/ (* z y) t)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
11.0ms
(/ (* z y) t)

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ (* z y) t)

simplify673.0ms

Counts
26 → 26
Iterations

Useful iterations: done (672.0ms)

IterNodesCost
050198
1120191
2633167
done5001161

prune109.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.8b

regimes856.0ms

Accuracy

64.4% (4.7b remaining)

Error of 8.6b against oracle of 3.8b and baseline of 17.2b

bsearch120.0ms

Steps
ItersRangePoint
10
-460.02882835528214
-4.1640618065726785e-08
-5.184725816409017e-08

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02647
12847
done2847

end0.0ms

sample6.1s

Algorithm
intervals
Results
1.3s1583×body10240exit
1.2s1402×body1280valid
796.0ms1610×body640valid
530.0ms2499×body80nan
457.0ms97×body2560valid
399.0ms3486×body80valid
294.0ms967×body320valid
119.0ms261×body640nan
76.0ms460×body160valid
56.0ms127×body1280nan
46.0ms124×body160nan
41.0ms204×body320nan