Details

Time bar (total: 4.5s)

sample53.0ms

Algorithm
intervals
Results
36.0ms369×body80valid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 5 (19.0ms)

IterNodesCost
0267
1684
21404
32004
42144
52173
62173

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ (+ x (* y z)) (* t a))
4.9b
(* (* a z) b)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
17×add-log-exp
sum-log
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt fma-def *-un-lft-identity
expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
+-commutative associate-+l+ flip3-+ flip-+
associate-*l* *-commutative
Counts
3 → 57
Calls
3 calls:
48.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
10.0ms
(+ (+ x (* y z)) (* t a))
7.0ms
(* (* a z) b)

series173.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
54.0ms
(+ (+ x (* y z)) (* t a))
28.0ms
(* (* a z) b)

simplify59.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0298352
11535295
25001285

prune207.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.9b
(* (* a z) b)
12.9b
(cbrt (* (* a z) b))
12.9b
(cbrt (* (* a z) b))
12.9b
(cbrt (* (* a z) b))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-prod pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod
associate-*l* *-commutative
Counts
4 → 53
Calls
4 calls:
7.0ms
(* (* a z) b)
5.0ms
(cbrt (* (* a z) b))
9.0ms
(cbrt (* (* a z) b))
5.0ms
(cbrt (* (* a z) b))

series346.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (* a z) b)
109.0ms
(cbrt (* (* a z) b))
104.0ms
(cbrt (* (* a z) b))
105.0ms
(cbrt (* (* a z) b))

simplify87.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0185316
1726268
23235259
35001240

prune289.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

12.9b
(cbrt (* (* a z) b))
12.9b
(cbrt (* (* a z) b))
12.9b
(cbrt (* (* a z) b))
12.9b
(cbrt (* (* a z) b))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log cbrt-prod add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 44
Calls
4 calls:
5.0ms
(cbrt (* (* a z) b))
5.0ms
(cbrt (* (* a z) b))
5.0ms
(cbrt (* (* a z) b))
5.0ms
(cbrt (* (* a z) b))

series671.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (* (* a z) b))
346.0ms
(cbrt (* (* a z) b))
110.0ms
(cbrt (* (* a z) b))
108.0ms
(cbrt (* (* a z) b))

simplify73.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (68.0ms)

IterNodesCost
0107320
1272292
2822280
32767252
45001240

prune283.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

2.5b
(fma (fma a b y) z (fma a t x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (fma a b y) z (fma a t x))

series101.0ms

Counts
1 → 3
Calls
1 calls:
101.0ms
(fma (fma a b y) z (fma a t x))

simplify68.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
04458
19351
230749
3203249
4500249

prune48.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes264.0ms

Accuracy

86% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.0b

bsearch138.0ms

Steps
ItersRangePoint
9
2.3421646924773706e-101
6.1219219813331134e-96
1.6207224568773726e-99
8
-4.100070126614291e+31
-1.4783828142855087e+29
-5.574502195639276e+29

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03611
13611

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s11878×body80valid