Details

Time bar (total: 2.3s)

sample24.0ms

Algorithm
intervals
Results
12.0ms327×body80valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0144
1254
2483
3963
41533
52033
62473
74013
86803
911333
1018663
1132913
1247453
1350013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

2.3b
(fma (/ y t) (- z x) 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:
1.0ms
(fma (/ y t) (- z x) x)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(fma (/ y t) (- z x) x)

simplify41.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
04069
19362
227053
3130053
4500153

prune42.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y t) (- z x) x))
2.3b
(fma (/ y t) (- z x) x)
2.3b
(fma (/ y t) (- z x) x)
2.3b
(fma (/ y t) (- z x) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-prod fma-udef
pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (/ y t) (- z x) x))
1.0ms
(fma (/ y t) (- z x) x)
1.0ms
(fma (/ y t) (- z x) x)
1.0ms
(fma (/ y t) (- z x) x)

series264.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt (fma (/ y t) (- z x) x))
27.0ms
(fma (/ y t) (- z x) x)
31.0ms
(fma (/ y t) (- z x) x)
28.0ms
(fma (/ y t) (- z x) x)

simplify35.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0116320
1284290
21044260
35001255

prune160.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z x))
6.3b
(/ (* y (- z x)) t)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
add-exp-log add-cbrt-cube
associate-*r*
pow1 associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
7.0ms
(* y (- z x))
8.0ms
(/ (* y (- z x)) t)

series85.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* y (- z x))
51.0ms
(/ (* y (- z x)) t)

simplify45.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0313491
11415328
25001322

prune131.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z x))
5.7b
(/ y (/ t (- z x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-- flip--
cbrt-undiv div-exp
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
5.0ms
(/ t (- z x))
9.0ms
(/ y (/ t (- z x)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ t (- z x))
57.0ms
(/ y (/ t (- z x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04881065
122041025
250011016

prune352.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes110.0ms

Accuracy

13.3% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.2b

bsearch95.0ms

Steps
ItersRangePoint
10
6.82367833210035e-56
2.7549977171994024e-45
7.758425132606525e-53
8
-2.4985068588235734e-302
-1.8202780673007064e-306
-7.07003647724086e-303

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0258
1258

end0.0ms

sample559.0ms

Algorithm
intervals
Results
291.0ms10646×body80valid