Details

Time bar (total: 2.8s)

sample24.0ms

Algorithm
intervals
Results
8.0ms332×body80valid

simplify165.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
7.5b
(/ (* (- y x) z) t)

rewrite53.0ms

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:
10.0ms
(+ x (/ (* (- y x) z) t))
22.0ms
(* (- y x) z)
18.0ms
(/ (* (- y x) z) t)

series116.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ x (/ (* (- y x) z) t))
29.0ms
(* (- y x) z)
48.0ms
(/ (* (- y x) z) t)

simplify50.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0296337
11154289
25002284

prune178.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
8.1b
(* (- y x) (/ z t))

rewrite39.0ms

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:
7.0ms
(+ x (* (- y x) (/ z t)))
30.0ms
(* (- y x) (/ z t))

series84.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (* (- y x) (/ z t)))
47.0ms
(* (- y x) (/ z t))

simplify50.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0306327
11283301
25002286

prune151.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
8.7b
(/ (- y x) (/ t z))

rewrite71.0ms

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:
42.0ms
(+ x (/ (- y x) (/ t z)))
23.0ms
(/ (- y x) (/ t z))

series86.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ x (/ (- y x) (/ t z)))
45.0ms
(/ (- y x) (/ t z))

simplify78.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0618976
12232923
25001920

prune323.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) z) (/ 1 t)))
0.0b
(* (- y x) z)
7.6b
(* (* (- y x) z) (/ 1 t))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
17×add-sqr-sqrt add-cbrt-cube
16×associate-*r*
15×*-un-lft-identity
13×add-cube-cbrt prod-exp
10×pow1
9×times-frac
8×associate-*l/
7×cbrt-unprod
6×associate-*l*
5×add-log-exp
4×div-exp pow-prod-down
3×expm1-log1p-u flip3-- fma-def flip-- log1p-expm1-u
2×cbrt-undiv frac-times rec-exp 1-exp *-commutative
1×+-commutative flip3-+ associate-*r/ sum-log un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
7.0ms
(+ x (* (* (- y x) z) (/ 1 t)))
22.0ms
(* (- y x) z)
47.0ms
(* (* (- y x) z) (/ 1 t))

series115.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ x (* (* (- y x) z) (/ 1 t)))
29.0ms
(* (- y x) z)
50.0ms
(* (* (- y x) z) (/ 1 t))

simplify70.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0419488
11970417
25001386

prune197.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes116.0ms

Accuracy

-4.1% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch72.0ms

Steps
ItersRangePoint
8
2.2412670894539055e-251
7.973714747345739e-247
1.7816371570631576e-248
7
-5.193500810084203e-75
-3.167058764412077e-77
-1.9940252243615597e-76

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03013
13013

end0.0ms

sample635.0ms

Algorithm
intervals
Results
271.0ms10647×body80valid