Details

Time bar (total: 3.8s)

sample23.0ms

Algorithm
intervals
Results
11.0ms343×body80valid

simplify121.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0144
1284
2513
3903
41503
52143
63083
74473
85503
98653
1012313
1117253
1227283
1344663
1450013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
6.4b
(/ (* (- y x) z) t)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
8×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u fma-def times-frac associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 66
Calls
3 calls:
5.0ms
(+ x (/ (* (- y x) z) t))
10.0ms
(* (- y x) z)
7.0ms
(/ (* (- y x) z) t)

series105.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ x (/ (* (- y x) z) t))
28.0ms
(* (- y x) z)
44.0ms
(/ (* (- y x) z) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0296337
11154289
25002284

prune153.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.0b
(* (- y x) (/ z t))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
3×fma-def
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
15.0ms
(* (- y x) (/ z t))

series80.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (* (- y x) (/ z t)))
42.0ms
(* (- y x) (/ z t))

simplify39.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0306327
11283301
25002286

prune131.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
6.7b
(/ (- y x) (/ t z))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
89×*-un-lft-identity
87×add-sqr-sqrt
59×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv fma-def div-exp
2×pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 121
Calls
2 calls:
29.0ms
(+ x (/ (- y x) (/ t z)))
14.0ms
(/ (- y x) (/ t z))

series77.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ x (/ (- y x) (/ t z)))
44.0ms
(/ (- y x) (/ t z))

simplify59.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0618976
12232923
25001920

prune283.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

6.7b
(/ (- y x) (/ t z))
7.3b
(cbrt (/ (- y x) (/ t z)))
7.3b
(cbrt (/ (- y x) (/ t z)))
7.3b
(cbrt (/ (- y x) (/ t z)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
449×times-frac
313×add-sqr-sqrt *-un-lft-identity
210×cbrt-prod
207×add-cube-cbrt
53×distribute-lft-out-- difference-of-squares
25×div-inv
13×associate-/r*
9×add-exp-log add-cbrt-cube
5×associate-/l*
4×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×cbrt-undiv cbrt-div pow1/3 div-exp
2×associate-/l/
1×flip3-- frac-2neg div-sub clear-num flip--
Counts
4 → 346
Calls
4 calls:
12.0ms
(/ (- y x) (/ t z))
7.0ms
(cbrt (/ (- y x) (/ t z)))
7.0ms
(cbrt (/ (- y x) (/ t z)))
8.0ms
(cbrt (/ (- y x) (/ t z)))

series463.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (- y x) (/ t z))
138.0ms
(cbrt (/ (- y x) (/ t z)))
141.0ms
(cbrt (/ (- y x) (/ t z)))
138.0ms
(cbrt (/ (- y x) (/ t z)))

simplify96.0ms

Algorithm
egg-herbie
Counts
358 → 358
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
07773846
126213782
250013761

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes118.0ms

Accuracy

9.3% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.2b

bsearch81.0ms

Steps
ItersRangePoint
8
1.1641453856177518e+203
5.037961904163681e+206
2.11625050668119e+206
10
1.5611629972504725e-88
4.9836518071778194e-77
8.722376555020404e-83

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211
12211

end0.0ms

sample544.0ms

Algorithm
intervals
Results
284.0ms10701×body80valid