Details

Time bar (total: 4.9s)

sample28.0ms

Algorithm
intervals
Results
12.0ms281×body80valid

simplify92.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0215
1374
2604
31044
41744
52374
62664
73124
83754
95074
106664
1111174
1213414
1315134
1415354
1515354

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.7b
(fma y (/ (- z t) (- z a)) x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
24.0ms
(/ (- z t) (- z a))
0.0ms
(fma y (/ (- z t) (- z a)) x)

series118.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (- z t) (- z a))
74.0ms
(fma y (/ (- z t) (- z a)) x)

simplify72.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0260433
1705410
22411410
35001410

prune207.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.2b

localize13.0ms

Local error

Found 4 expressions with local error:

1.7b
(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) x)
3.9b
(cbrt (/ (- z t) (- z a)))
3.9b
(cbrt (/ (- z t) (- z a)))
3.9b
(cbrt (/ (- z t) (- z a)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
97×add-sqr-sqrt *-un-lft-identity
93×cbrt-prod
75×times-frac
37×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
6×associate-/r/
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div flip3-- pow1/3 flip-- div-inv
1×fma-udef
Counts
4 → 136
Calls
4 calls:
0.0ms
(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) x)
14.0ms
(cbrt (/ (- z t) (- z a)))
10.0ms
(cbrt (/ (- z t) (- z a)))
10.0ms
(cbrt (/ (- z t) (- z a)))

series490.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) x)
145.0ms
(cbrt (/ (- z t) (- z a)))
135.0ms
(cbrt (/ (- z t) (- z a)))
137.0ms
(cbrt (/ (- z t) (- z a)))

simplify103.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 4 (88.0ms)

IterNodesCost
02381445
14391387
29611374
324601348
450011339

prune549.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.3b
(cbrt (/ (- z t) (cbrt (- z a))))
1.7b
(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (* (cbrt (/ 1 (* (cbrt (- z a)) (cbrt (- z a))))) (cbrt (/ (- z t) (cbrt (- z a)))))) x)
3.9b
(cbrt (/ (- z t) (- z a)))
3.9b
(cbrt (/ (- z t) (- z a)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
133×cbrt-prod
111×add-sqr-sqrt *-un-lft-identity
90×times-frac
45×add-cube-cbrt
33×distribute-lft-out-- difference-of-squares
6×associate-/r/
5×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- div-inv
1×fma-udef
Counts
4 → 151
Calls
4 calls:
11.0ms
(cbrt (/ (- z t) (cbrt (- z a))))
0.0ms
(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (* (cbrt (/ 1 (* (cbrt (- z a)) (cbrt (- z a))))) (cbrt (/ (- z t) (cbrt (- z a)))))) x)
10.0ms
(cbrt (/ (- z t) (- z a)))
11.0ms
(cbrt (/ (- z t) (- z a)))

series702.0ms

Counts
4 → 12
Calls
4 calls:
346.0ms
(cbrt (/ (- z t) (cbrt (- z a))))
79.0ms
(fma y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (* (cbrt (/ 1 (* (cbrt (- z a)) (cbrt (- z a))))) (cbrt (/ (- z t) (cbrt (- z a)))))) x)
137.0ms
(cbrt (/ (- z t) (- z a)))
140.0ms
(cbrt (/ (- z t) (- z a)))

simplify63.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05631902
114021823
250011814

prune844.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* y (- z t)) (- z a)) x)
0.0b
(* y (- z t))
12.2b
(/ (* y (- z t)) (- z a))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in fma-def distribute-lft-in
10×add-exp-log times-frac add-cbrt-cube
5×pow1 associate-*r* associate-/r* add-log-exp
4×flip3-- associate-*r/ associate-/r/ flip-- distribute-lft-out-- difference-of-squares
3×expm1-log1p-u associate-*l* log1p-expm1-u
2×cbrt-undiv sub-neg div-exp prod-exp cbrt-unprod div-inv associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 102
Calls
3 calls:
55.0ms
(+ (/ (* y (- z t)) (- z a)) x)
23.0ms
(* y (- z t))
34.0ms
(/ (* y (- z t)) (- z a))

series196.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(+ (/ (* y (- z t)) (- z a)) x)
36.0ms
(* y (- z t))
71.0ms
(/ (* y (- z t)) (- z a))

simplify63.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0425664
11841498
25001496

prune259.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes212.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample616.0ms

Algorithm
intervals
Results
263.0ms8663×body80valid