Details

Time bar (total: 6.1s)

sample29.0ms

Algorithm
intervals
Results
10.0ms378×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1354
2514
3714
4854
5894
6894

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
8.6b
(/ (- (* x y) (* z t)) a)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
9.0ms
(- (* x y) (* z t))
20.0ms
(/ (- (* x y) (* z t)) a)

series108.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- (* x y) (* z t))
62.0ms
(/ (- (* x y) (* z t)) a)

simplify93.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0218336
1769309
22931308
35001307

prune168.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
5.8b
(/ (* x y) a)
8.0b
(/ (* t z) a)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
51×times-frac
49×prod-diff
39×add-sqr-sqrt *-un-lft-identity
37×add-cube-cbrt
19×div-inv
13×add-exp-log add-cbrt-cube
7×fma-neg
6×associate-/r*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 121
Calls
3 calls:
27.0ms
(- (/ (* x y) a) (/ (* t z) a))
10.0ms
(/ (* x y) a)
10.0ms
(/ (* t z) a)

series125.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(- (/ (* x y) a) (/ (* t z) a))
22.0ms
(/ (* x y) a)
23.0ms
(/ (* t z) a)

simplify67.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04721466
119691032
250011024

prune251.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
2.2b
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
3.5b
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))))
4.3b
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))

rewrite413.0ms

Algorithm
rewrite-expression-head
Rules
136×times-frac
119×*-un-lft-identity
103×add-sqr-sqrt
95×add-cube-cbrt
78×associate-*r*
66×cbrt-prod
41×distribute-lft-neg-in distribute-rgt-out
34×add-exp-log
29×associate-*l*
25×add-cbrt-cube
23×distribute-lft-out
22×distribute-rgt-neg-in
12×prod-exp cbrt-unprod
9×cbrt-undiv div-exp
8×pow1 unswap-sqr
7×div-inv
4×expm1-log1p-u frac-times neg-mul-1 distribute-lft1-in associate-*r/ log1p-expm1-u add-log-exp
2×flip3-+ pow-prod-down associate-*l/ frac-add *-commutative flip-+ distribute-neg-frac
1×distribute-rgt-in distribute-lft-in pow1/3 fma-udef
Counts
4 → 190
Calls
4 calls:
1.0ms
(cbrt a)
356.0ms
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
0.0ms
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))))
43.0ms
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))

series612.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(cbrt a)
3.0ms
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
348.0ms
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))))
58.0ms
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))

simplify44.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
08681954
150011415

prune867.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

3.0b
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a))))))
3.5b
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))))
4.3b
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))
34.0b
(+ (- (/ z (cbrt a))) (/ z (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)))))

rewrite444.0ms

Algorithm
rewrite-expression-head
Rules
104×times-frac
81×add-sqr-sqrt
79×add-cube-cbrt
69×*-un-lft-identity
48×fma-def
35×cbrt-prod
34×add-exp-log distribute-lft-neg-in
32×distribute-rgt-neg-in
29×associate-*l*
25×add-cbrt-cube
22×associate-*r*
12×distribute-rgt-out prod-exp cbrt-unprod distribute-lft-out
9×cbrt-undiv div-exp div-inv
8×pow1 add-log-exp unswap-sqr
4×expm1-log1p-u frac-times associate-*r/ log1p-expm1-u
3×flip3-+ frac-add flip-+ distribute-neg-frac
2×pow-prod-down associate-*l/ sum-log *-commutative
1×+-commutative neg-sub0 distribute-rgt-in associate-+l- neg-mul-1 distribute-lft-in neg-log fma-udef
Counts
4 → 197
Calls
4 calls:
298.0ms
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a))))))
0.0ms
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))))
42.0ms
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))
93.0ms
(+ (- (/ z (cbrt a))) (/ z (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)))))

series415.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a))))))
348.0ms
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))))
60.0ms
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))
3.0ms
(+ (- (/ z (cbrt a))) (/ z (* (* (cbrt (cbrt a)) (cbrt (cbrt a))) (cbrt (cbrt a)))))

simplify100.0ms

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07792339
139771965
250011775

prune976.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes400.0ms

Accuracy

64% (2.4b remaining)

Error of 2.5b against oracle of 0.1b and baseline of 6.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05068
15468
25468

end0.0ms

sample767.0ms

Algorithm
intervals
Results
307.0ms11169×body80valid